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137957839261 = 1120231619921
BaseRepresentation
bin1000000001111011101…
…1011001000110011101
3111012002112000100212021
42000132323121012131
54230014201324021
6143213231140141
712652503166624
oct2003673310635
9435075010767
10137957839261
11535646705a0
12228a1974651
1310017775768
14696a31a6bb
1538c67d1c41
hex201eed919d

137957839261 has 8 divisors (see below), whose sum is σ = 150507142848. Its totient is φ = 125409816000.

The previous prime is 137957839241. The next prime is 137957839337. The reversal of 137957839261 is 162938759731.

It is a happy number.

137957839261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 137957839261 - 29 = 137957838749 is a prime.

It is a super-2 number, since 2×1379578392612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137957839261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137957839241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87420 + ... + 532501.

It is an arithmetic number, because the mean of its divisors is an integer number (18813392856).

Almost surely, 2137957839261 is an apocalyptic number.

137957839261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137957839261 is a deficient number, since it is larger than the sum of its proper divisors (12549303587).

137957839261 is a wasteful number, since it uses less digits than its factorization.

137957839261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640163.

The product of its digits is 17146080, while the sum is 61.

The spelling of 137957839261 in words is "one hundred thirty-seven billion, nine hundred fifty-seven million, eight hundred thirty-nine thousand, two hundred sixty-one".

Divisors: 1 11 20231 222541 619921 6819131 12541621751 137957839261