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26521430868 = 223231533591249
BaseRepresentation
bin11000101100110011…
…001110101101010100
32112110022202021121100
4120230303032231110
5413303441241433
620103410150100
71626140304612
oct305463165524
975408667540
1026521430868
111027a724609
125181b82330
1326687c027a
1413d84686b2
15a53551b13
hex62ccceb54

26521430868 has 144 divisors (see below), whose sum is σ = 70761600000. Its totient is φ = 8363796480.

The previous prime is 26521430867. The next prime is 26521430911. The reversal of 26521430868 is 86803412562.

26521430868 is a `hidden beast` number, since 2 + 6 + 521 + 43 + 0 + 86 + 8 = 666.

It is a super-2 number, since 2×265214308682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26521430867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21233508 + ... + 21234756.

It is an arithmetic number, because the mean of its divisors is an integer number (491400000).

Almost surely, 226521430868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26521430868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800000).

26521430868 is an abundant number, since it is smaller than the sum of its proper divisors (44240169132).

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

26521430868 is a wasteful number, since it uses less digits than its factorization.

26521430868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 26521430868 in words is "twenty-six billion, five hundred twenty-one million, four hundred thirty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 359 372 477 558 636 718 954 1077 1116 1249 1436 1643 1908 2154 2498 3231 3286 3747 4308 4929 4996 6462 6572 7494 9858 11129 11241 12924 14787 14988 19027 19716 22258 22482 29574 33387 38054 38719 44516 44964 57081 59148 66197 66774 76108 77438 100161 114162 116157 132394 133548 154876 171243 198591 200322 228324 232314 264788 342486 348471 397182 400644 448391 464628 589837 595773 684972 696942 794364 896782 1179674 1191546 1345173 1393884 1769511 1793564 2052107 2359348 2383092 2690346 3539022 4035519 4104214 5308533 5380692 6156321 7078044 8071038 8208428 10617066 12312642 13900121 16142076 18468963 21234132 23764723 24625284 27800242 36937926 41700363 47529446 55600484 71294169 73875852 83400726 95058892 125101089 142588338 166801452 213882507 250202178 285176676 427765014 500404356 736706413 855530028 1473412826 2210119239 2946825652 4420238478 6630357717 8840476956 13260715434 26521430868