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21057634431 = 3219131940031
BaseRepresentation
bin10011100111001000…
…100000000001111111
32000100112122122221100
4103213020200001333
5321111223300211
613401310104143
71343553640131
oct234710400177
960315578840
1021057634431
118a26538469
1240b81ab053
131ca7844122
14103a957051
15833a34156
hex4e722007f

21057634431 has 24 divisors (see below), whose sum is σ = 32261898240. Its totient is φ = 13198021200.

The previous prime is 21057634427. The next prime is 21057634439. The reversal of 21057634431 is 13443675012.

21057634431 is a `hidden beast` number, since 2 + 10 + 5 + 7 + 634 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 21057634431 - 22 = 21057634427 is a prime.

It is a super-2 number, since 2×210576344312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21057634439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447615 + ... + 492416.

It is an arithmetic number, because the mean of its divisors is an integer number (1344245760).

Almost surely, 221057634431 is an apocalyptic number.

21057634431 is a deficient number, since it is larger than the sum of its proper divisors (11204263809).

21057634431 is a wasteful number, since it uses less digits than its factorization.

21057634431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940187 (or 940184 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21057634431 in words is "twenty-one billion, fifty-seven million, six hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 131 171 393 1179 2489 7467 22401 940031 2820093 8460279 17860589 53581767 123144061 160745301 369432183 1108296549 2339737159 7019211477 21057634431