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30106682500032 = 263412647459209
BaseRepresentation
bin1101101100001110000100…
…00111011010001111000000
310221121011121110122021110000
412312013002013122033000
512421231441210000112
6144010452523240000
76225064441600125
oct666070207321700
9127534543567400
1030106682500032
119658199434356
123462a63079000
1313a508153a608
14761257b1a74c
15373225a137dc
hex1b61c21da3c0

30106682500032 has 140 divisors (see below), whose sum is σ = 89252889525360. Its totient is φ = 10034745467904.

The previous prime is 30106682499923. The next prime is 30106682500033. The reversal of 30106682500032 is 23000528660103.

It is a happy number.

30106682500032 is a `hidden beast` number, since 3 + 0 + 10 + 66 + 82 + 500 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30106682500032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30106682500033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65332444 + ... + 65791652.

Almost surely, 230106682500032 is an apocalyptic number.

30106682500032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30106682500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44626444762680).

30106682500032 is an abundant number, since it is smaller than the sum of its proper divisors (59146207025328).

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

30106682500032 is a wasteful number, since it uses less digits than its factorization.

30106682500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471880 (or 471861 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30106682500032 in words is "thirty trillion, one hundred six billion, six hundred eighty-two million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 12647 25294 37941 50588 75882 101176 113823 151764 202352 227646 303528 341469 404704 455292 459209 607056 682938 809408 910584 918418 1024407 1214112 1365876 1377627 1821168 1836836 2048814 2428224 2731752 2755254 3642336 3673672 4097628 4132881 5463504 5510508 7284672 7347344 8195256 8265762 10927008 11021016 12398643 14694688 16390512 16531524 21854016 22042032 24797286 29389376 32781024 33063048 37195929 44084064 49594572 65562048 66126096 74391858 88168128 99189144 132252192 148783716 198378288 264504384 297567432 396756576 595134864 793513152 1190269728 2380539456 5807616223 11615232446 17422848669 23230464892 34845697338 46460929784 52268546007 69691394676 92921859568 104537092014 139382789352 156805638021 185843719136 209074184028 278765578704 313611276042 371687438272 418148368056 470416914063 557531157408 627222552084 836296736112 940833828126 1115062314816 1254445104168 1672593472224 1881667656252 2508890208336 3345186944448 3763335312504 5017780416672 7526670625008 10035560833344 15053341250016 30106682500032