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95106428946 = 23261733118169
BaseRepresentation
bin101100010010011001…
…0001111000000010010
3100002111010112011202100
41120210302033000102
53024234221211241
6111405152501230
76604553210334
oct1304462170022
9302433464670
1095106428946
1137375110801
1216522b4a816
138c78a35979
144863185454
1527198079b6
hex1624c8f012

95106428946 has 48 divisors (see below), whose sum is σ = 209729534040. Its totient is φ = 31139631360.

The previous prime is 95106428933. The next prime is 95106428971. The reversal of 95106428946 is 64982460159.

95106428946 is a `hidden beast` number, since 9 + 510 + 6 + 4 + 2 + 89 + 46 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85969172025 + 9137256921 = 293205^2 + 95589^2 .

It is a Smith number, since the sum of its digits (54) 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 = 95106428892 and 95106428901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745750 + ... + 863918.

Almost surely, 295106428946 is an apocalyptic number.

95106428946 is an abundant number, since it is smaller than the sum of its proper divisors (114623105094).

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

95106428946 is a wasteful number, since it uses less digits than its factorization.

95106428946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118971 (or 118968 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 95106428946 in words is "ninety-five billion, one hundred six million, four hundred twenty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 733 1098 1466 2199 4398 6597 13194 44713 89426 118169 134139 236338 268278 354507 402417 709014 804834 1063521 2127042 7208309 14416618 21624927 43249854 64874781 86617877 129749562 173235754 259853631 519707262 779560893 1559121786 5283690497 10567380994 15851071491 31702142982 47553214473 95106428946