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3058826897412 = 223211133531683223
BaseRepresentation
bin101100100000110000010…
…010100110100000000100
3101211102100220110021222100
4230200300102212200010
5400103434141204122
610301112232032100
7433664403430446
oct54406022464004
911742326407870
103058826897412
11a7a272049470
124149a2b32630
131925a5222640
14a8095a5c496
1554878ec0aac
hex2c8304a6804

3058826897412 has 144 divisors (see below), whose sum is σ = 9109527493248. Its totient is φ = 853191567360.

The previous prime is 3058826897407. The next prime is 3058826897417. The reversal of 3058826897412 is 2147986288503.

3058826897412 is a `hidden beast` number, since 3 + 0 + 58 + 82 + 6 + 8 + 97 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (3058826897407) and next prime (3058826897417).

It is a super-3 number, since 3×30588268974123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3058826897412.

It is not an unprimeable number, because it can be changed into a prime (3058826897417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975633 + ... + 2658855.

It is an arithmetic number, because the mean of its divisors is an integer number (63260607592).

It is a 1-persistent number, because it is pandigital, but 2⋅3058826897412 = 6117653794824 is not.

Almost surely, 23058826897412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3058826897412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554763746624).

3058826897412 is an abundant number, since it is smaller than the sum of its proper divisors (6050700595836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3058826897412 is a wasteful number, since it uses less digits than its factorization.

3058826897412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683610 (or 1683605 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3058826897412 in words is "three trillion, fifty-eight billion, eight hundred twenty-six million, eight hundred ninety-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 353 396 429 468 572 706 858 1059 1287 1412 1716 2118 2574 3177 3883 4236 4589 5148 6354 7766 9178 11649 12708 13767 15532 18356 23298 27534 34947 41301 46596 50479 55068 69894 82602 100958 139788 151437 165204 201916 302874 454311 605748 908622 1683223 1817244 3366446 5049669 6732892 10099338 15149007 18515453 20198676 21881899 30298014 37030906 43763798 55546359 60596028 65645697 74061812 87527596 111092718 131291394 166639077 196937091 222185436 240700889 262582788 333278154 393874182 481401778 594177719 666556308 722102667 787748364 962803556 1188355438 1444205334 1782533157 2166308001 2376710876 2888410668 3565066314 4332616002 5347599471 6535954909 7130132628 7724310347 8665232004 10695198942 13071909818 15448620694 19607864727 21390397884 23172931041 26143819636 30897241388 39215729454 46345862082 58823594181 69518793123 78431458908 84967413817 92691724164 117647188362 139037586246 169934827634 235294376724 254902241451 278075172492 339869655268 509804482902 764706724353 1019608965804 1529413448706 3058826897412