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10360379142 = 2331129169937
BaseRepresentation
bin10011010011000011…
…01101011100000110
3222202000212210101000
421221201231130012
5132204224113032
64432014514130
7514511525001
oct115141553406
928660783330
1010360379142
114437189213
122011805946
13c91568979
14703d72538
15409846e7c
hex26986d706

10360379142 has 32 divisors (see below), whose sum is σ = 23043592800. Its totient is φ = 3450380544.

The previous prime is 10360379083. The next prime is 10360379167. The reversal of 10360379142 is 24197306301.

10360379142 is a `hidden beast` number, since 1 + 0 + 3 + 603 + 7 + 9 + 1 + 42 = 666.

It is a super-3 number, since 3×103603791423 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10360379097 and 10360379106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24003 + ... + 145934.

It is an arithmetic number, because the mean of its divisors is an integer number (720112275).

Almost surely, 210360379142 is an apocalyptic number.

10360379142 is an abundant number, since it is smaller than the sum of its proper divisors (12683213658).

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

10360379142 is a wasteful number, since it uses less digits than its factorization.

10360379142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171077 (or 171071 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10360379142 in words is "ten billion, three hundred sixty million, three hundred seventy-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1129 2258 3387 6774 10161 20322 30483 60966 169937 339874 509811 1019622 1529433 3058866 4588299 9176598 191858873 383717746 575576619 1151153238 1726729857 3453459714 5180189571 10360379142