Search a number
-
+
10174428108 = 22321321740231
BaseRepresentation
bin10010111100111000…
…10111001111001100
3222021001222111111200
421132130113033030
5131314123144413
64401333145500
7510063132465
oct113634271714
928231874450
1010174428108
114351221479
121b7b48b290
13c61b90180
146c73a9d6c
153e8365573
hex25e7173cc

10174428108 has 36 divisors (see below), whose sum is σ = 27697055568. Its totient is φ = 3130593120.

The previous prime is 10174428059. The next prime is 10174428127. The reversal of 10174428108 is 80182447101.

10174428108 is a `hidden beast` number, since 101 + 7 + 442 + 8 + 108 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10869648 + ... + 10870583.

Almost surely, 210174428108 is an apocalyptic number.

10174428108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10174428108 is an abundant number, since it is smaller than the sum of its proper divisors (17522627460).

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

10174428108 is a wasteful number, since it uses less digits than its factorization.

10174428108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21740254 (or 21740249 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10174428108 in words is "ten billion, one hundred seventy-four million, four hundred twenty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21740231 43480462 65220693 86960924 130441386 195662079 260882772 282623003 391324158 565246006 782648316 847869009 1130492012 1695738018 2543607027 3391476036 5087214054 10174428108