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12513836412 = 223271123196277
BaseRepresentation
bin10111010011110000…
…11111110101111100
31012022002222202101200
423221320133311330
5201112020231122
65425422535500
7622050566040
oct135170376574
935262882350
1012513836412
115341809570
122512a37590
13124575273c
14869d76020
154d391d5ac
hex2e9e1fd7c

12513836412 has 144 divisors (see below), whose sum is σ = 41152430592. Its totient is φ = 3109011840.

The previous prime is 12513836383. The next prime is 12513836437. The reversal of 12513836412 is 21463831521.

12513836412 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 8 + 3 + 641 + 2 = 666.

It is a super-2 number, since 2×125138364122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34383 + ... + 161894.

It is an arithmetic number, because the mean of its divisors is an integer number (285780768).

Almost surely, 212513836412 is an apocalyptic number.

12513836412 is a gapful number since it is divisible by the number (12) 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 12513836412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576215296).

12513836412 is an abundant number, since it is smaller than the sum of its proper divisors (28638594180).

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

12513836412 is a wasteful number, since it uses less digits than its factorization.

12513836412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196328 (or 196323 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12513836412 in words is "twelve billion, five hundred thirteen million, eight hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 322 396 414 462 483 506 644 693 759 828 924 966 1012 1386 1449 1518 1771 1932 2277 2772 2898 3036 3542 4554 5313 5796 7084 9108 10626 15939 21252 31878 63756 196277 392554 588831 785108 1177662 1373939 1766493 2159047 2355324 2747878 3532986 4121817 4318094 4514371 5495756 6477141 7065972 8243634 8636188 9028742 12365451 12954282 13543113 15113329 16487268 18057484 19431423 24730902 25908564 27086226 30226658 31600597 38862846 40629339 45339987 49461804 49658081 54172452 60453316 63201194 77725692 81258678 90679974 94801791 99316162 126402388 136019961 148974243 162517356 181359948 189603582 198632324 272039922 284405373 297948486 347606567 379207164 446922729 544079844 568810746 595896972 695213134 893845458 1042819701 1137621492 1390426268 1787690916 2085639402 3128459103 4171278804 6256918206 12513836412