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13376935056 = 24323711571087
BaseRepresentation
bin11000111010101001…
…11101010010010000
31021112021001201011010
430131110331102100
5204343443410211
610051214050520
7652331033442
oct143524752220
937467051133
1013376935056
115744a27331
122713aa9a40
1313524c8ab4
1490c848492
155345ab4a6
hex31d53d490

13376935056 has 160 divisors (see below), whose sum is σ = 36834213888. Its totient is φ = 4174410240.

The previous prime is 13376935051. The next prime is 13376935063. The reversal of 13376935056 is 65053967331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13376934996 and 13376935014.

It is not an unprimeable number, because it can be changed into a prime (13376935051) 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, 12305745 + ... + 12306831.

Almost surely, 213376935056 is an apocalyptic number.

13376935056 is a gapful number since it is divisible by the number (16) 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 13376935056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417106944).

13376935056 is an abundant number, since it is smaller than the sum of its proper divisors (23457278832).

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

13376935056 is a wasteful number, since it uses less digits than its factorization.

13376935056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 48.

The spelling of 13376935056 in words is "thirteen billion, three hundred seventy-six million, nine hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 157 184 213 276 284 314 368 426 471 552 568 628 852 942 1087 1104 1136 1256 1633 1704 1884 2174 2512 3261 3266 3408 3611 3768 4348 4899 6522 6532 7222 7536 8696 9798 10833 11147 13044 13064 14444 17392 19596 21666 22294 25001 26088 26128 28888 33441 39192 43332 44588 50002 52176 57776 66882 75003 77177 78384 86664 89176 100004 133764 150006 154354 170659 173328 178352 200008 231531 256381 267528 300012 308708 341318 400016 463062 511977 512762 535056 600024 617416 682636 769143 926124 1023954 1025524 1200048 1234832 1365272 1538286 1775071 1852248 2047908 2051048 2730544 3076572 3550142 3704496 3925157 4095816 4102096 5325213 6153144 7100284 7850314 8191632 10650426 11775471 12116789 12306288 14200568 15700628 21300852 23550942 24233578 28401136 31401256 36350367 42601704 47101884 48467156 62802512 72700734 85203408 94203768 96934312 145401468 188407536 193868624 278686147 290802936 557372294 581605872 836058441 1114744588 1672116882 2229489176 3344233764 4458978352 6688467528 13376935056