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136567922688 = 2133213612
BaseRepresentation
bin111111100110000010…
…1010010000000000000
3111001111122122021202200
41333030011102000000
54214142342011223
6142423300313200
712603165122001
oct1771405220000
9431448567680
10136567922688
1152a1103970a
12225743a2800
13cb55817812
1468778b11a8
15384477ea43
hex1fcc152000

136567922688 has 126 divisors (see below), whose sum is σ = 394795551657. Its totient is φ = 45489192960.

The previous prime is 136567922633. The next prime is 136567922759. The reversal of 136567922688 is 886229765631.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

136567922688 is a `hidden beast` number, since 1 + 3 + 6 + 567 + 9 + 2 + 2 + 68 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119572107264 + 16995815424 = 345792^2 + 130368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=261312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100343128 + ... + 100344488.

Almost surely, 2136567922688 is an apocalyptic number.

136567922688 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 136567922688

136567922688 is an abundant number, since it is smaller than the sum of its proper divisors (258227628969).

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

136567922688 is an frugal number, since it uses more digits than its factorization.

136567922688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 1366 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 136567922688 in words is "one hundred thirty-six billion, five hundred sixty-seven million, nine hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1361 1536 2048 2304 2722 3072 4083 4096 4608 5444 6144 8166 8192 9216 10888 12249 12288 16332 18432 21776 24498 24576 32664 36864 43552 48996 65328 73728 87104 97992 130656 174208 195984 261312 348416 391968 522624 696832 783936 1045248 1393664 1567872 1852321 2090496 2787328 3135744 3704642 4180992 5556963 5574656 6271488 7409284 8361984 11113926 11149312 12542976 14818568 16670889 16723968 22227852 25085952 29637136 33341778 33447936 44455704 50171904 59274272 66683556 88911408 100343808 118548544 133367112 177822816 237097088 266734224 355645632 474194176 533468448 711291264 948388352 1066936896 1422582528 1896776704 2133873792 2845165056 3793553408 4267747584 5690330112 7587106816 8535495168 11380660224 15174213632 17070990336 22761320448 34141980672 45522640896 68283961344 136567922688