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21367866876312 = 233113717191127249
BaseRepresentation
bin1001101101111000110000…
…00111010110000110011000
32210122202012101022111011110
410312330120013112012120
510300042342410020222
6113240132412300320
74333530442440405
oct466743007260630
983582171274143
1021367866876312
116899074879960
12249129b4716a0
13bbcc9a90ac48
1453c2d2dcd2ac
15270c61eb030c
hex136f181d6198

21367866876312 has 128 divisors (see below), whose sum is σ = 59854979520000. Its totient is φ = 6299692185600.

The previous prime is 21367866876299. The next prime is 21367866876319.

21367866876312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21367866876319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167858064 + ... + 167985312.

It is an arithmetic number, because the mean of its divisors is an integer number (467617027500).

Almost surely, 221367866876312 is an apocalyptic number.

21367866876312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21367866876312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29927489760000).

21367866876312 is an abundant number, since it is smaller than the sum of its proper divisors (38487112643688).

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

21367866876312 is a wasteful number, since it uses less digits than its factorization.

21367866876312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144497 (or 144493 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 21367866876312 in words is "twenty-one trillion, three hundred sixty-seven billion, eight hundred sixty-six million, eight hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 17191 34382 51573 68764 103146 127249 137528 189101 206292 254498 378202 381747 412584 508996 567303 636067 756404 763494 1017992 1134606 1272134 1399739 1512808 1526988 1908201 2269212 2544268 2799478 3053976 3816402 4199217 4538424 4708213 5088536 5598956 6996737 7632804 8398434 9416426 11197912 13993474 14124639 15265608 16796868 18832852 20990211 27986948 28249278 33593736 37665704 41980422 51790343 55973896 56498556 83960844 103580686 112997112 155371029 167921688 207161372 310742058 414322744 621484116 1242968232 2187537559 4375075118 6562612677 8750150236 13125225354 17500300472 24062913149 26250450708 48125826298 52500901416 72188739447 80938889683 96251652596 144377478894 161877779366 192503305192 242816669049 288754957788 323755558732 485633338098 577509915576 647511117464 890327786513 971266676196 1780655573026 1942533352392 2670983359539 3561311146052 5341966719078 7122622292104 10683933438156 21367866876312