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18765164196 = 2232174792
BaseRepresentation
bin10001011110011111…
…011010111010100100
31210102202222002222100
4101132133122322210
5301412340223241
612342014332100
71233006156342
oct213637327244
953382862870
1018765164196
117a5a49a669
1237784ba030
131a0090736c
14ca02c8992
1574c64d9b6
hex45e7daea4

18765164196 has 135 divisors (see below), whose sum is σ = 51044799351. Its totient is φ = 5812589952.

The previous prime is 18765164167. The next prime is 18765164207. The reversal of 18765164196 is 69146156781.

The square root of 18765164196 is 136986.

It is a perfect power (a square), and thus also a powerful number.

18765164196 is a `hidden beast` number, since 1 + 87 + 6 + 516 + 41 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5823826596 + 12941337600 = 76314^2 + 113760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 237533685 + ... + 237533763.

Almost surely, 218765164196 is an apocalyptic number.

18765164196 is the 136986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18765164196

18765164196 is an abundant number, since it is smaller than the sum of its proper divisors (32279635155).

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

18765164196 is an frugal number, since it uses more digits than its factorization.

18765164196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 101 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 18765164196 in words is "eighteen billion, seven hundred sixty-five million, one hundred sixty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 289 306 316 474 578 612 711 867 948 1156 1343 1422 1734 2601 2686 2844 3468 4029 4913 5202 5372 6241 8058 9826 10404 12087 12482 14739 16116 18723 19652 22831 24174 24964 29478 37446 44217 45662 48348 56169 58956 68493 74892 83521 88434 91324 106097 112338 136986 167042 176868 205479 212194 224676 250563 273972 318291 334084 388127 410958 424388 501126 636582 751689 776254 821916 954873 1002252 1164381 1273164 1503378 1552508 1803649 1909746 2328762 3006756 3493143 3607298 3819492 4657524 5410947 6598159 6986286 7214596 10821894 13196318 13972572 16232841 19794477 21643788 26392636 30662033 32465682 39588954 59383431 61324066 64931364 79177908 91986099 118766862 122648132 183972198 237533724 275958297 367944396 521254561 551916594 1042509122 1103833188 1563763683 2085018244 3127527366 4691291049 6255054732 9382582098 18765164196