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137937766965 = 35101197346147
BaseRepresentation
bin1000000001110110111…
…0110100101000110101
3111012001010020120211220
42000131232310220311
54224444032020330
6143211233020553
712652140450045
oct2003556645065
9435033216756
10137937766965
1153554300a19
12228970b4759
131001356846b
1469677b3725
1538c4b69710
hex201dbb4a35

137937766965 has 32 divisors (see below), whose sum is σ = 223003380096. Its totient is φ = 72799929600.

The previous prime is 137937766937. The next prime is 137937766969. The reversal of 137937766965 is 569667739731.

It is not a de Polignac number, because 137937766965 - 221 = 137935669813 is a prime.

It is a super-2 number, since 2×1379377669652 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137937766965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137937766969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2966022 + ... + 3012168.

It is an arithmetic number, because the mean of its divisors is an integer number (6968855628).

Almost surely, 2137937766965 is an apocalyptic number.

137937766965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137937766965 is a deficient number, since it is larger than the sum of its proper divisors (85065613131).

137937766965 is a wasteful number, since it uses less digits than its factorization.

137937766965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48229.

The product of its digits is 270050760, while the sum is 69.

The spelling of 137937766965 in words is "one hundred thirty-seven billion, nine hundred thirty-seven million, seven hundred sixty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 101 303 505 1515 1973 5919 9865 29595 46147 138441 199273 230735 597819 692205 996365 2989095 4660847 13982541 23304235 69912705 91048031 273144093 455240155 1365720465 9195851131 27587553393 45979255655 137937766965