Search a number
-
+
149261276268 = 2232139714922067
BaseRepresentation
bin1000101100000010101…
…0100101010001101100
3112021021021102110102100
42023000222211101230
54421141341320033
6152323015055100
713532555625516
oct2130052452154
9467237373370
10149261276268
1158335110075
1224b17371490
13110c9502420
14731d616bb6
153d38d0d513
hex22c0aa546c

149261276268 has 144 divisors (see below), whose sum is σ = 413285090400. Its totient is φ = 45145976832.

The previous prime is 149261276257. The next prime is 149261276303. The reversal of 149261276268 is 862672162941.

149261276268 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 6 + 1 + 2 + 7 + 626 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6752971 + ... + 6775037.

It is an arithmetic number, because the mean of its divisors is an integer number (2870035350).

Almost surely, 2149261276268 is an apocalyptic number.

149261276268 is a gapful number since it is divisible by the number (18) 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 149261276268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206642545200).

149261276268 is an abundant number, since it is smaller than the sum of its proper divisors (264023814132).

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

149261276268 is a wasteful number, since it uses less digits than its factorization.

149261276268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22336 (or 22331 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 149261276268 in words is "one hundred forty-nine billion, two hundred sixty-one million, two hundred seventy-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 149 156 194 234 291 298 388 447 468 582 596 873 894 1164 1261 1341 1746 1788 1937 2522 2682 3492 3783 3874 5044 5364 5811 7566 7748 11349 11622 14453 15132 17433 22067 22698 23244 28906 34866 43359 44134 45396 57812 66201 69732 86718 88268 130077 132402 173436 187889 198603 260154 264804 286871 375778 397206 520308 563667 573742 751556 794412 860613 1127334 1147484 1691001 1721226 2140499 2254668 2581839 3287983 3382002 3442452 4280998 5163678 6421497 6575966 6764004 8561996 9863949 10327356 12842994 13151932 19264491 19727898 25685988 27826487 29591847 38528982 39455796 42743779 55652974 59183694 77057964 83479461 85487558 111305948 118367388 128231337 166958922 170975116 250438383 256462674 318934351 333917844 384694011 500876766 512925348 637868702 769388022 956803053 1001753532 1275737404 1538776044 1913606106 2870409159 3827212212 4146146563 5740818318 8292293126 11481636636 12438439689 16584586252 24876879378 37315319067 49753758756 74630638134 149261276268