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13712090504256 = 26321542912
BaseRepresentation
bin1100011110001001100001…
…0010001001110001000000
31210112212022011102011212100
43013202120102021301000
53244124330132114011
645055125235230400
72613444246124434
oct307423022116100
953485264364770
1013712090504256
1144072a0686171
1216555b3448400
13786076c57491
14355950d869c4
1518ba39ddad56
hexc7898489c40

13712090504256 has 63 divisors (see below), whose sum is σ = 39303486372423. Its totient is φ = 4570667210880.

The previous prime is 13712090504249. The next prime is 13712090504257. The reversal of 13712090504256 is 65240509021731.

The square root of 13712090504256 is 3702984.

It is a perfect power (a square), and thus also a powerful number.

13712090504256 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 2 + 0 + 90 + 504 + 2 + 56 = 666.

It is a super-2 number, since 2×137120905042562 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13712090504257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88794471 + ... + 88948761.

Almost surely, 213712090504256 is an apocalyptic number.

13712090504256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13712090504256 is the 3702984-th square number.

It is an amenable number.

13712090504256 is an abundant number, since it is smaller than the sum of its proper divisors (25591395868167).

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

13712090504256 is an frugal number, since it uses more digits than its factorization.

13712090504256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308600 (or 154296 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Adding to 13712090504256 its reverse (65240509021731), we get a palindrome (78952599525987).

The spelling of 13712090504256 in words is "thirteen trillion, seven hundred twelve billion, ninety million, five hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 154291 308582 462873 617164 925746 1234328 1388619 1851492 2468656 2777238 3702984 4937312 5554476 7405968 9874624 11108952 14811936 22217904 29623872 44435808 88871616 23805712681 47611425362 71417138043 95222850724 142834276086 190445701448 214251414129 285668552172 380891402896 428502828258 571337104344 761782805792 857005656516 1142674208688 1523565611584 1714011313032 2285348417376 3428022626064 4570696834752 6856045252128 13712090504256