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10664204265 = 32511132372053
BaseRepresentation
bin10011110111010001…
…01101011111101001
31000112012120201002100
421323220231133221
5133320014014030
64522110524013
7525161145351
oct117350553751
930465521070
1010664204265
114582735560
122097506609
13100c4a5850
1473245db61
1542635e360
hex27ba2d7e9

10664204265 has 96 divisors (see below), whose sum is σ = 22660694784. Its totient is φ = 4565214720.

The previous prime is 10664204231. The next prime is 10664204267. The reversal of 10664204265 is 56240246601.

10664204265 is a `hidden beast` number, since 1 + 0 + 6 + 642 + 0 + 4 + 2 + 6 + 5 = 666.

It is not a de Polignac number, because 10664204265 - 216 = 10664138729 is a prime.

It is a super-2 number, since 2×106642042652 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10664204267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111979 + ... + 184031.

It is an arithmetic number, because the mean of its divisors is an integer number (236048904).

Almost surely, 210664204265 is an apocalyptic number.

10664204265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10664204265 is an abundant number, since it is smaller than the sum of its proper divisors (11996490519).

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

10664204265 is a wasteful number, since it uses less digits than its factorization.

10664204265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72111 (or 72108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10664204265 in words is "ten billion, six hundred sixty-four million, two hundred four thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 23 33 39 45 55 65 69 99 115 117 143 165 195 207 253 299 345 429 495 585 715 759 897 1035 1265 1287 1495 2145 2277 2691 3289 3795 4485 6435 9867 11385 13455 16445 29601 49335 72053 148005 216159 360265 648477 792583 936689 1080795 1657219 2377749 2810067 3242385 3962915 4683445 4971657 7133247 8286095 8430201 10303579 11888745 14050335 14914971 18229409 21543847 24858285 30910737 35666235 42151005 51517895 54688227 64631541 74574855 91147045 92732211 107719235 154553685 164064681 193894623 236982317 273441135 323157705 463661055 710946951 820323405 969473115 1184911585 2132840853 3554734755 10664204265