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232677006129 = 32115322422377
BaseRepresentation
bin1101100010110010100…
…0010101101100110001
3211020120122211120220200
43120230220111230301
512303010303144004
6254520151425413
722544644630311
oct3305450255461
9736518746820
10232677006129
118a750116597
1239117085269
1318c311a9969
14b393c95441
1560bc0e0239
hex362ca15b31

232677006129 has 12 divisors (see below), whose sum is σ = 336380514756. Its totient is φ = 154983462912.

The previous prime is 232677006091. The next prime is 232677006139. The reversal of 232677006129 is 921600776232.

232677006129 is a `hidden beast` number, since 2 + 3 + 26 + 7 + 7 + 0 + 0 + 612 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114098706225 + 118578299904 = 337785^2 + 344352^2 .

It is not a de Polignac number, because 232677006129 - 213 = 232676997937 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (232677006139) 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, 11200812 + ... + 11221565.

It is an arithmetic number, because the mean of its divisors is an integer number (28031709563).

Almost surely, 2232677006129 is an apocalyptic number.

It is an amenable number.

232677006129 is a deficient number, since it is larger than the sum of its proper divisors (103703508627).

232677006129 is a wasteful number, since it uses less digits than its factorization.

232677006129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22423536 (or 22423533 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 232677006129 in words is "two hundred thirty-two billion, six hundred seventy-seven million, six thousand, one hundred twenty-nine".

Divisors: 1 3 9 1153 3459 10377 22422377 67267131 201801393 25853000681 77559002043 232677006129