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10556056032 = 253383287099
BaseRepresentation
bin10011101010011000…
…01010000111100000
31000020200002012121020
421311030022013200
5133104322243112
64503244525440
7522405665364
oct116514120740
930220065536
1010556056032
114527689155
122067250880
13cc2c6b302
14721d4b2a4
1541baea48c
hex27530a1e0

10556056032 has 48 divisors (see below), whose sum is σ = 27782092800. Its totient is φ = 3509485952.

The previous prime is 10556056013. The next prime is 10556056033. The reversal of 10556056032 is 23065065501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105560560322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556055984 and 10556056002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556056033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106782 + ... + 180317.

It is an arithmetic number, because the mean of its divisors is an integer number (578793600).

Almost surely, 210556056032 is an apocalyptic number.

10556056032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10556056032 is an abundant number, since it is smaller than the sum of its proper divisors (17226036768).

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

10556056032 is a wasteful number, since it uses less digits than its factorization.

10556056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287495 (or 287487 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 10556056032 in words is "ten billion, five hundred fifty-six million, fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 36768 287099 574198 861297 1148396 1722594 2296792 3445188 4593584 6890376 9187168 13780752 27561504 109958917 219917834 329876751 439835668 659753502 879671336 1319507004 1759342672 2639014008 3518685344 5278028016 10556056032