Search a number
-
+
132894736857 = 3329467363437
BaseRepresentation
bin111101111000100100…
…1001100000111011001
3110201000122220010002000
41323301021030013121
54134132023034412
6141015003231213
712413153424261
oct1736111140731
9421018803060
10132894736857
11513a6683843
122190a218509
13c6bb821a8c
146609b107a1
1536cc0634dc
hex1ef124c1d9

132894736857 has 32 divisors (see below), whose sum is σ = 204106780800. Its totient is φ = 85358032704.

The previous prime is 132894736829. The next prime is 132894736873. The reversal of 132894736857 is 758637498231.

132894736857 is a `hidden beast` number, since 1 + 3 + 2 + 89 + 473 + 6 + 85 + 7 = 666.

It is not a de Polignac number, because 132894736857 - 27 = 132894736729 is a prime.

It is a super-2 number, since 2×1328947368572 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132894736794 and 132894736803.

It is not an unprimeable number, because it can be changed into a prime (132894736817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183943 + ... + 547379.

It is an arithmetic number, because the mean of its divisors is an integer number (6378336900).

Almost surely, 2132894736857 is an apocalyptic number.

It is an amenable number.

132894736857 is a deficient number, since it is larger than the sum of its proper divisors (71212043943).

132894736857 is a wasteful number, since it uses less digits than its factorization.

132894736857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363942 (or 363936 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 132894736857 in words is "one hundred thirty-two billion, eight hundred ninety-four million, seven hundred thirty-six thousand, eight hundred fifty-seven".

Divisors: 1 3 9 27 29 87 261 467 783 1401 4203 12609 13543 40629 121887 363437 365661 1090311 3270933 9812799 10539673 31619019 94857057 169725079 284571171 509175237 1527525711 4582577133 4922027291 14766081873 44298245619 132894736857