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136642500864 = 2832181327661
BaseRepresentation
bin111111101000010000…
…1110001100100000000
3111001200211222020210100
41333100201301210000
54214320440011424
6142434523002400
712605062044042
oct1772041614400
9431624866710
10136642500864
1152a4a147371
1222595369400
13cb680ca10c
146883765a92
15384b0b1dc9
hex1fd0871900

136642500864 has 108 divisors (see below), whose sum is σ = 396151877212. Its totient is φ = 45295718400.

The previous prime is 136642500859. The next prime is 136642500881. The reversal of 136642500864 is 468005246631.

136642500864 is a `hidden beast` number, since 1 + 3 + 6 + 64 + 2 + 500 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1065369600 + 135577131264 = 32640^2 + 368208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253194 + ... + 580854.

Almost surely, 2136642500864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136642500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198075938606).

136642500864 is an abundant number, since it is smaller than the sum of its proper divisors (259509376348).

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

136642500864 is a wasteful number, since it uses less digits than its factorization.

136642500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327864 (or 327847 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 136642500864 in words is "one hundred thirty-six billion, six hundred forty-two million, five hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 543 576 724 768 1086 1152 1448 1629 2172 2304 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 34752 46336 52128 69504 104256 139008 208512 327661 417024 655322 982983 1310644 1965966 2621288 2948949 3931932 5242576 5897898 7863864 10485152 11795796 15727728 20970304 23591592 31455456 41940608 47183184 59306641 62910912 83881216 94366368 118613282 125821824 177919923 188732736 237226564 251643648 355839846 377465472 474453128 533759769 711679692 754930944 948906256 1067519538 1423359384 1897812512 2135039076 2846718768 3795625024 4270078152 5693437536 7591250048 8540156304 11386875072 15182500096 17080312608 22773750144 34160625216 45547500288 68321250432 136642500864