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53013706816 = 26732414983
BaseRepresentation
bin110001010111110111…
…001111100001000000
312001211121122100011211
4301113313033201000
51332033002104231
640204255415504
73554505034000
oct612767174100
9161747570154
1053013706816
1120534945644
12a336224594
134ccb2430b5
1427ccaa4000
1515a4244eb1
hexc57dcf840

53013706816 has 56 divisors (see below), whose sum is σ = 122681187200. Its totient is φ = 22720150656.

The previous prime is 53013706789. The next prime is 53013706859. The reversal of 53013706816 is 61860731035.

It is a happy number.

53013706816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×530137068162 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185540 + ... + 1229443.

Almost surely, 253013706816 is an apocalyptic number.

53013706816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

53013706816 is an abundant number, since it is smaller than the sum of its proper divisors (69667480384).

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

53013706816 is an equidigital number, since it uses as much as digits as its factorization.

53013706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415016 (or 2414992 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 53013706816 in words is "fifty-three billion, thirteen million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5488 10976 21952 2414983 4829966 9659932 16904881 19319864 33809762 38639728 67619524 77279456 118334167 135239048 154558912 236668334 270478096 473336668 540956192 828339169 946673336 1081912384 1656678338 1893346672 3313356676 3786693344 6626713352 7573386688 13253426704 26506853408 53013706816