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13142746375137 = 326460122604993
BaseRepresentation
bin1011111101000000100010…
…1110101010001111100001
31201112102201120222201110100
42333100020232222033201
53210312321033001022
643541405550453013
72524350335643321
oct277201056521741
951472646881410
1013142746375137
114207897775155
12158319b204169
13744481520352
143361802b9281
1517bd1654e1ac
hexbf408baa3e1

13142746375137 has 12 divisors (see below), whose sum is σ = 18984261691044. Its totient is φ = 8761694899200.

The previous prime is 13142746375079. The next prime is 13142746375147. The reversal of 13142746375137 is 73157364724131.

13142746375137 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 7 + 463 + 7 + 5 + 137 = 666.

13142746375137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5008066612641 + 8134679762496 = 2237871^2 + 2852136^2 .

It is not a de Polignac number, because 13142746375137 - 211 = 13142746373089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13142746375147) 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, 10721088 + ... + 11883905.

It is an arithmetic number, because the mean of its divisors is an integer number (1582021807587).

Almost surely, 213142746375137 is an apocalyptic number.

It is an amenable number.

13142746375137 is a deficient number, since it is larger than the sum of its proper divisors (5841515315907).

13142746375137 is a wasteful number, since it uses less digits than its factorization.

13142746375137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22669600 (or 22669597 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 13142746375137 in words is "thirteen trillion, one hundred forty-two billion, seven hundred forty-six million, three hundred seventy-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 64601 193803 581409 22604993 67814979 203444937 1460305152793 4380915458379 13142746375137