Search a number
-
+
122695114464 = 253213291130039
BaseRepresentation
bin111001001000100110…
…0101101111011100000
3102201200211111121111200
41302101030231323200
54002234422130324
6132210530041200
711602333156656
oct1622114557340
9381624447450
10122695114464
114804221454a
121b942419200
13b754680160
145d1d266dd6
1532d18c2ec9
hex1c9132dee0

122695114464 has 144 divisors (see below), whose sum is σ = 388711159200. Its totient is φ = 36450505728.

The previous prime is 122695114433. The next prime is 122695114469. The reversal of 122695114464 is 464411596221.

122695114464 is a `hidden beast` number, since 12 + 2 + 69 + 5 + 114 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1226951144642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122695114469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456444 + ... + 673595.

It is an arithmetic number, because the mean of its divisors is an integer number (2699383050).

Almost surely, 2122695114464 is an apocalyptic number.

It is an amenable number.

122695114464 is an abundant number, since it is smaller than the sum of its proper divisors (266016044736).

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

122695114464 is a wasteful number, since it uses less digits than its factorization.

122695114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130097 (or 1130086 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 122695114464 in words is "one hundred twenty-two billion, six hundred ninety-five million, one hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3393 3744 4176 4524 6032 6786 8352 9048 12064 13572 18096 27144 36192 54288 108576 1130039 2260078 3390117 4520156 6780234 9040312 10170351 13560468 14690507 18080624 20340702 27120936 29381014 32771131 36161248 40681404 44071521 54241872 58762028 65542262 81362808 88143042 98313393 108483744 117524056 131084524 132214563 162725616 176286084 196626786 235048112 262169048 264429126 294940179 325451232 352572168 393253572 426024703 470096224 524338096 528858252 589880358 705144336 786507144 852049406 1048676192 1057716504 1179760716 1278074109 1410288672 1573014288 1704098812 2115433008 2359521432 2556148218 3146028576 3408197624 3834222327 4230866016 4719042864 5112296436 6816395248 7668444654 9438085728 10224592872 13632790496 15336889308 20449185744 30673778616 40898371488 61347557232 122695114464