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10066156731 = 3210342125793
BaseRepresentation
bin10010101111111110…
…10101110010111011
3221222112020202002200
421113333111302323
5131103414003411
64342504401243
7504306630501
oct112777256273
927875222080
1010066156731
1142a60a05a4
121b4b176223
13c45611877
146b6c64671
153ddac9e56
hex257fd5cbb

10066156731 has 24 divisors (see below), whose sum is σ = 14716611936. Its totient is φ = 6629575680.

The previous prime is 10066156687. The next prime is 10066156759. The reversal of 10066156731 is 13765166001.

10066156731 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 61 + 567 + 31 = 666.

It is not a de Polignac number, because 10066156731 - 217 = 10066025659 is a prime.

It is a super-2 number, since 2×100661567312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066156831) 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 23 ways as a sum of consecutive naturals, for example, 377371 + ... + 403163.

It is an arithmetic number, because the mean of its divisors is an integer number (613192164).

Almost surely, 210066156731 is an apocalyptic number.

10066156731 is a deficient number, since it is larger than the sum of its proper divisors (4650455205).

10066156731 is a wasteful number, since it uses less digits than its factorization.

10066156731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26323 (or 26320 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10066156731 in words is "ten billion, sixty-six million, one hundred fifty-six thousand, seven hundred thirty-one".

Divisors: 1 3 9 103 309 421 927 1263 3789 25793 43363 77379 130089 232137 390267 2656679 7970037 10858853 23910111 32576559 97729677 1118461859 3355385577 10066156731