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20164252104 = 233432099697
BaseRepresentation
bin10010110001111000…
…100001000111001000
31221001021121010210000
4102301320201013020
5312244022031404
613132513523000
71312455213003
oct226170410710
957037533700
1020164252104
118608216067
123aa8b73460
131b94726929
14d9404053a
157d03b3339
hex4b1e211c8

20164252104 has 80 divisors (see below), whose sum is σ = 56502002700. Its totient is φ = 6718629888.

The previous prime is 20164252091. The next prime is 20164252201. The reversal of 20164252104 is 40125246102.

20164252104 is a `hidden beast` number, since 2 + 0 + 1 + 642 + 5 + 2 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19515531204 + 648720900 = 139698^2 + 25470^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2074584 + ... + 2084280.

Almost surely, 220164252104 is an apocalyptic number.

20164252104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20164252104 is an abundant number, since it is smaller than the sum of its proper divisors (36337750596).

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

20164252104 is a wasteful number, since it uses less digits than its factorization.

20164252104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20164252104 its reverse (40125246102), we get a palindrome (60289498206).

The spelling of 20164252104 in words is "twenty billion, one hundred sixty-four million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3209 6418 9627 9697 12836 19254 19394 25672 28881 29091 38508 38788 57762 58182 77016 77576 86643 87273 115524 116364 173286 174546 231048 232728 259929 261819 346572 349092 519858 523638 693144 698184 785457 1039716 1047276 1570914 2079432 2094552 3141828 6283656 31117673 62235346 93353019 124470692 186706038 248941384 280059057 373412076 560118114 746824152 840177171 1120236228 1680354342 2240472456 2520531513 3360708684 5041063026 6721417368 10082126052 20164252104