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13735413056 = 26232405701
BaseRepresentation
bin11001100101011000…
…11100010101000000
31022110020121021112002
430302230130111000
5211112231204211
610150541323132
7664243041011
oct146254342500
938406537462
1013735413056
115909312142
1227b3b664a8
1313ab85cb61
149442c1008
15555cbc03b
hex332b1c540

13735413056 has 42 divisors (see below), whose sum is σ = 28492857162. Its totient is φ = 6569094400.

The previous prime is 13735413017. The next prime is 13735413103. The reversal of 13735413056 is 65031453731.

It can be written as a sum of positive squares in only one way, i.e., 11193640000 + 2541773056 = 105800^2 + 50416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168995 + ... + 236706.

It is an arithmetic number, because the mean of its divisors is an integer number (678401361).

Almost surely, 213735413056 is an apocalyptic number.

13735413056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13735413056 is an abundant number, since it is smaller than the sum of its proper divisors (14757444106).

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

13735413056 is an equidigital number, since it uses as much as digits as its factorization.

13735413056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405759 (or 405726 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

Adding to 13735413056 its reverse (65031453731), we get a palindrome (78766866787).

The spelling of 13735413056 in words is "thirteen billion, seven hundred thirty-five million, four hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 33856 405701 811402 1622804 3245608 6491216 9331123 12982432 18662246 25964864 37324492 74648984 149297968 214615829 298595936 429231658 597191872 858463316 1716926632 3433853264 6867706528 13735413056