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10132565460432 = 243211095113759
BaseRepresentation
bin1001001101110010101111…
…1101110000010111010000
31022212122220220112101120020
42103130223331300113100
52312002443224213212
633314500350543440
72064024263226162
oct223345375602720
938778826471506
1010132565460432
113257219057588
121177913807b80
1358665c69b97c
142705c1208932
15128888112d8c
hex9372bf705d0

10132565460432 has 20 divisors (see below), whose sum is σ = 26175794106240. Its totient is φ = 3377521820128.

The previous prime is 10132565460403. The next prime is 10132565460463. The reversal of 10132565460432 is 23406456523101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 105547556832 + ... + 105547556927.

It is an arithmetic number, because the mean of its divisors is an integer number (1308789705312).

Almost surely, 210132565460432 is an apocalyptic number.

10132565460432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132565460432 is an abundant number, since it is smaller than the sum of its proper divisors (16043228645808).

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

10132565460432 is a wasteful number, since it uses less digits than its factorization.

10132565460432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211095113770 (or 211095113764 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 10132565460432 in words is "ten trillion, one hundred thirty-two billion, five hundred sixty-five million, four hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 211095113759 422190227518 633285341277 844380455036 1266570682554 1688760910072 2533141365108 3377521820144 5066282730216 10132565460432