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137775544257 = 31328312483061
BaseRepresentation
bin1000000001010000001…
…1111111011111000001
3111011121210222211010110
42000110003333133001
54224131014404012
6143143200021533
712645130542411
oct2002403773701
9434553884113
10137775544257
115348078066a
12228509018a9
13ccb8a7a0b0
146950026641
1538b57c373c
hex20140ff7c1

137775544257 has 16 divisors (see below), whose sum is σ = 198530618048. Its totient is φ = 84485350080.

The previous prime is 137775544241. The next prime is 137775544261. The reversal of 137775544257 is 752445577731.

It is not a de Polignac number, because 137775544257 - 24 = 137775544241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137775544197 and 137775544206.

It is not an unprimeable number, because it can be changed into a prime (137775542257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6230494 + ... + 6252567.

It is an arithmetic number, because the mean of its divisors is an integer number (12408163628).

Almost surely, 2137775544257 is an apocalyptic number.

It is an amenable number.

137775544257 is a deficient number, since it is larger than the sum of its proper divisors (60755073791).

137775544257 is a wasteful number, since it uses less digits than its factorization.

137775544257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483360.

The product of its digits is 28812000, while the sum is 57.

The spelling of 137775544257 in words is "one hundred thirty-seven billion, seven hundred seventy-five million, five hundred forty-four thousand, two hundred fifty-seven".

Divisors: 1 3 13 39 283 849 3679 11037 12483061 37449183 162279793 486839379 3532706263 10598118789 45925181419 137775544257