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10760764014 = 23271121354293
BaseRepresentation
bin10100000010110010…
…00011101001101110
31000202221021110011100
422001121003221232
5134014223422024
64535440303530
7530442661560
oct120131035156
930687243140
1010760764014
114622197300
122103911ba6
1310264b34b0
147411d7330
1542ea847c9
hex281643a6e

10760764014 has 144 divisors (see below), whose sum is σ = 31541773536. Its totient is φ = 2579955840.

The previous prime is 10760764013. The next prime is 10760764111. The reversal of 10760764014 is 41046706701.

10760764014 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 7 + 640 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10760764014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10760764013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171052 + ... + 225344.

It is an arithmetic number, because the mean of its divisors is an integer number (219040094).

Almost surely, 210760764014 is an apocalyptic number.

10760764014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10760764014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770886768).

10760764014 is an abundant number, since it is smaller than the sum of its proper divisors (20781009522).

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

10760764014 is a wasteful number, since it uses less digits than its factorization.

10760764014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54343 (or 54329 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10760764014 in words is "ten billion, seven hundred sixty million, seven hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 33033 54293 66066 99099 108586 162879 198198 325758 380051 488637 597223 705809 760102 977274 1140153 1194446 1411618 1791669 2117427 2280306 3420459 3583338 4180561 4234854 4940663 5375007 6352281 6569453 6840918 7763899 8361122 9881326 10750014 12541683 12704562 13138906 14821989 15527798 19708359 23291697 25083366 29643978 37625049 39416718 44465967 45986171 46583394 54347293 59125077 69875091 75250098 85402889 88931934 91972342 108694586 118250154 137958513 139750182 163041879 170805778 256208667 275917026 326083758 413875539 489125637 512417334 597820223 768626001 827751078 978251274 1195640446 1537252002 1793460669 3586921338 5380382007 10760764014