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10077536142 = 2321733236203
BaseRepresentation
bin10010110001010101…
…01111111110001110
3222000022122212201100
421120222233332032
5131114322124032
64343552323530
7504505433562
oct113052577616
928008585640
1010077536142
114301563073
121b52b435a6
13c47a9724b
146b85876a2
153deac697c
hex258aaff8e

10077536142 has 24 divisors (see below), whose sum is σ = 21960880344. Its totient is φ = 3339760464.

The previous prime is 10077536137. The next prime is 10077536143. The reversal of 10077536142 is 24163577001.

It is a happy number.

10077536142 is a `hidden beast` number, since 10 + 0 + 77 + 536 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10077536097 and 10077536106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077536143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614988 + ... + 1621215.

It is an arithmetic number, because the mean of its divisors is an integer number (915036681).

Almost surely, 210077536142 is an apocalyptic number.

10077536142 is an abundant number, since it is smaller than the sum of its proper divisors (11883344202).

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

10077536142 is a wasteful number, since it uses less digits than its factorization.

10077536142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236384 (or 3236381 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10077536142 in words is "ten billion, seventy-seven million, five hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 3236203 6472406 9708609 19417218 29125827 58251654 559863119 1119726238 1679589357 3359178714 5038768071 10077536142