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26426229102 = 235721385361
BaseRepresentation
bin11000100111001000…
…000100000101101110
32112012200121112100000
4120213020010011232
5413110103312402
620050125445130
71623603145500
oct304710040556
975180545300
1026426229102
1110230a10069
1251561107a6
132651b69770
1413c9965d70
15a49ee8c1c
hex62720416e

26426229102 has 144 divisors (see below), whose sum is σ = 74385812592. Its totient is φ = 6969473280.

The previous prime is 26426229083. The next prime is 26426229113. The reversal of 26426229102 is 20192262462.

It is a happy number.

26426229102 is a `hidden beast` number, since 2 + 6 + 426 + 229 + 1 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 266902 + ... + 352262.

It is an arithmetic number, because the mean of its divisors is an integer number (516568143).

Almost surely, 226426229102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26426229102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37192906296).

26426229102 is an abundant number, since it is smaller than the sum of its proper divisors (47959583490).

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

26426229102 is a wasteful number, since it uses less digits than its factorization.

26426229102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85405 (or 85386 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26426229102 in words is "twenty-six billion, four hundred twenty-six million, two hundred twenty-nine thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 243 273 294 351 378 441 486 546 567 637 702 819 882 1053 1134 1274 1323 1638 1701 1911 2106 2457 2646 3159 3402 3822 3969 4914 5733 6318 7371 7938 11466 11907 14742 17199 22113 23814 34398 44226 51597 85361 103194 154791 170722 256083 309582 512166 597527 768249 1109693 1195054 1536498 1792581 2219386 2304747 3329079 3585162 4182689 4609494 5377743 6658158 6914241 7767851 8365378 9987237 10755486 12548067 13828482 15535702 16133229 19974474 20742723 23303553 25096134 29961711 32266458 37644201 41485446 46607106 48399687 54374957 59923422 69910659 75288402 89885133 96799374 108749914 112932603 139821318 145199061 163124871 179770266 209731977 225865206 269655399 290398122 326249742 338797809 419463954 489374613 539310798 629195931 677595618 978749226 1016393427 1258391862 1468123839 1887587793 2032786854 2936247678 3775175586 4404371517 8808743034 13213114551 26426229102