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137272272731 = 1122954494749
BaseRepresentation
bin111111111011000010…
…0001010011101011011
3111010022201222222101022
41333312010022131123
54222113200211411
6143021221113055
712626510031446
oct1776604123533
9433281888338
10137272272731
115324268a290
122273025878b
13cc3871aba9
14690325c65d
153886510edb
hex1ff610a75b

137272272731 has 8 divisors (see below), whose sum is σ = 150405510000. Its totient is φ = 124248025440.

The previous prime is 137272272703. The next prime is 137272272737.

137272272731 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-137272272731 is a prime.

It is a super-2 number, since 2×1372722727312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137272272737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27244856 + ... + 27249893.

It is an arithmetic number, because the mean of its divisors is an integer number (18800688750).

Almost surely, 2137272272731 is an apocalyptic number.

137272272731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137272272731 is a deficient number, since it is larger than the sum of its proper divisors (13133237269).

137272272731 is a wasteful number, since it uses less digits than its factorization.

137272272731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54494989.

The product of its digits is 345744, while the sum is 44.

The spelling of 137272272731 in words is "one hundred thirty-seven billion, two hundred seventy-two million, two hundred seventy-two thousand, seven hundred thirty-one".

Divisors: 1 11 229 2519 54494749 599442239 12479297521 137272272731