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136820901492 = 22341123489973
BaseRepresentation
bin111111101101100101…
…0010100011001110100
3111002011021122221110000
41333123022110121310
54220202122321432
6142504334431300
712612356321352
oct1773312243164
9432137587400
10136820901492
1153030917400
1222625062530
13cb96061012
14689d3247d2
15385baa157c
hex1fdb294674

136820901492 has 90 divisors (see below), whose sum is σ = 393149061074. Its totient is φ = 41460867360.

The previous prime is 136820901467. The next prime is 136820901557. The reversal of 136820901492 is 294109028631.

136820901492 is a `hidden beast` number, since 13 + 68 + 2 + 0 + 90 + 1 + 492 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74876660496 + 61944240996 = 273636^2 + 248886^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1705783 + ... + 1784190.

Almost surely, 2136820901492 is an apocalyptic number.

136820901492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136820901492 is an abundant number, since it is smaller than the sum of its proper divisors (256328159582).

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

136820901492 is a wasteful number, since it uses less digits than its factorization.

136820901492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490011 (or 3489989 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 136820901492 in words is "one hundred thirty-six billion, eight hundred twenty million, nine hundred one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 39204 3489973 6979946 10469919 13959892 20939838 31409757 38389703 41879676 62819514 76779406 94229271 115169109 125639028 153558812 188458542 230338218 282687813 345507327 376917084 422286733 460676436 565375626 691014654 844573466 1036521981 1130751252 1266860199 1382029308 1689146932 2073043962 2533720398 3109565943 3800580597 4146087924 5067440796 6219131886 7601161194 11401741791 12438263772 15202322388 22803483582 34205225373 45606967164 68410450746 136820901492