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10556406425024 = 262922567252037
BaseRepresentation
bin1001100110011101101011…
…0110101110010111000000
31101101011221010002020200122
42121213122312232113000
52340424010021100044
634241313545435412
72136450410046455
oct231473266562700
941334833066618
1010556406425024
1133aaa462494a9
121225a9b19bb68
135b7607392945
14286d0b84982c
151348e2a85dee
hex999dadae5c0

10556406425024 has 56 divisors (see below), whose sum is σ = 21671255555040. Its totient is φ = 5095950160896.

The previous prime is 10556406424973. The next prime is 10556406425029. The reversal of 10556406425024 is 42052460465501.

It is a super-2 number, since 2×105564064250242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556406425029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41758334 + ... + 42010370.

It is an arithmetic number, because the mean of its divisors is an integer number (386986706340).

Almost surely, 210556406425024 is an apocalyptic number.

It is an amenable number.

10556406425024 is an abundant number, since it is smaller than the sum of its proper divisors (11114849130016).

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

10556406425024 is a wasteful number, since it uses less digits than its factorization.

10556406425024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274645 (or 274635 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 10556406425024 in words is "ten trillion, five hundred fifty-six billion, four hundred six million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 22567 45134 90268 180536 252037 361072 504074 654443 722144 1008148 1308886 1444288 2016296 2617772 4032592 5235544 7309073 8065184 10471088 14618146 16130368 20942176 29236292 41884352 58472584 116945168 233890336 467780672 5687718979 11375437958 22750875916 45501751832 91003503664 164943850391 182007007328 329887700782 364014014656 659775401564 1319550803128 2639101606256 5278203212512 10556406425024