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137064363768 = 23323751450587
BaseRepresentation
bin111111110100110101…
…1000011011011111000
3111002210020210002220100
41333221223003123320
54221201434120033
6142544432555400
712621403604043
oct1775153033370
9432706702810
10137064363768
11531462951a2
12226926b2b60
13cc04624a37
1468c37bbc5a
153873143513
hex1fe9ac36f8

137064363768 has 48 divisors (see below), whose sum is σ = 381248857080. Its totient is φ = 44453306304.

The previous prime is 137064363767. The next prime is 137064363769. The reversal of 137064363768 is 867363460731.

137064363768 is a `hidden beast` number, since 137 + 0 + 6 + 436 + 3 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (137064363767) and next prime (137064363769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137064363767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25722630 + ... + 25727957.

Almost surely, 2137064363768 is an apocalyptic number.

137064363768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137064363768 is an abundant number, since it is smaller than the sum of its proper divisors (244184493312).

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

137064363768 is a wasteful number, since it uses less digits than its factorization.

137064363768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51450636 (or 51450629 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 137064363768 in words is "one hundred thirty-seven billion, sixty-four million, three hundred sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 51450587 102901174 154351761 205802348 308703522 411604696 463055283 617407044 926110566 1234814088 1852221132 1903671719 3704442264 3807343438 5711015157 7614686876 11422030314 15229373752 17133045471 22844060628 34266090942 45688121256 68532181884 137064363768