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136862340804 = 223272509152429
BaseRepresentation
bin111111101110110100…
…0011001011011000100
3111002021011122021111100
41333131220121123010
54220243224401204
6142512414540100
712613401462600
oct1773550313304
9432234567440
10136862340804
1153052250372
1222636b07630
13cba180ca17
1468a4a30500
153860539a39
hex1fdda196c4

136862340804 has 108 divisors (see below), whose sum is σ = 403233749100. Its totient is φ = 39026445696.

The previous prime is 136862340763. The next prime is 136862340841. The reversal of 136862340804 is 408043268631.

136862340804 is a `hidden beast` number, since 13 + 6 + 8 + 623 + 4 + 0 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82409184900 + 54453155904 = 287070^2 + 233352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 136862340804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 821662 + ... + 974090.

It is an arithmetic number, because the mean of its divisors is an integer number (3733645825).

Almost surely, 2136862340804 is an apocalyptic number.

136862340804 is a gapful number since it is divisible by the number (14) 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 136862340804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201616874550).

136862340804 is an abundant number, since it is smaller than the sum of its proper divisors (266371408296).

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

136862340804 is a wasteful number, since it uses less digits than its factorization.

136862340804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152962 (or 152950 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 136862340804 in words is "one hundred thirty-six billion, eight hundred sixty-two million, three hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 509 588 882 1018 1527 1764 2036 3054 3563 4581 6108 7126 9162 10689 14252 18324 21378 24941 32067 42756 49882 64134 74823 99764 128268 149646 152429 224469 299292 304858 448938 457287 609716 897876 914574 1067003 1371861 1829148 2134006 2743722 3201009 4268012 5487444 6402018 7469021 9603027 12804036 14938042 19206054 22407063 29876084 38412108 44814126 67221189 77586361 89628252 134442378 155172722 232759083 268884756 310345444 465518166 543104527 698277249 931036332 1086209054 1396554498 1629313581 2172418108 2793108996 3258627162 3801731689 4887940743 6517254324 7603463378 9775881486 11405195067 15206926756 19551762972 22810390134 34215585201 45620780268 68431170402 136862340804