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10156542129 = 34125389409
BaseRepresentation
bin10010111010110000…
…01000100010110001
3222012211022210120000
421131120020202301
5131300033322004
64355453540213
7506455116666
oct113530104261
928184283500
1010156542129
114342115478
121b754a4669
13c5b26a056
146c4c71a6d
153e69d0c39
hex25d6088b1

10156542129 has 10 divisors (see below), whose sum is σ = 15172118610. Its totient is φ = 6771028032.

The previous prime is 10156542103. The next prime is 10156542157. The reversal of 10156542129 is 92124565101.

10156542129 is a `hidden beast` number, since 101 + 5 + 6 + 542 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10075542129 + 81000000 = 100377^2 + 9000^2 .

It is not a de Polignac number, because 10156542129 - 27 = 10156542001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10156542093 and 10156542102.

It is not an unprimeable number, because it can be changed into a prime (10156542199) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62694624 + ... + 62694785.

It is an arithmetic number, because the mean of its divisors is an integer number (1517211861).

Almost surely, 210156542129 is an apocalyptic number.

It is an amenable number.

10156542129 is a deficient number, since it is larger than the sum of its proper divisors (5015576481).

10156542129 is an equidigital number, since it uses as much as digits as its factorization.

10156542129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125389421 (or 125389412 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10156542129 in words is "ten billion, one hundred fifty-six million, five hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 125389409 376168227 1128504681 3385514043 10156542129