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137763765140 = 22529237523733
BaseRepresentation
bin1000000001001101011…
…1000011101110010100
3111011120222211101012212
42000103113003232110
54224120010441030
6143142055332552
712644625453101
oct2002327035624
9434528741185
10137763765140
1153475065861
1222848981158
13ccb64b47c1
14694c63baa8
1538b4748595
hex20135c3b94

137763765140 has 24 divisors (see below), whose sum is σ = 299279904840. Its totient is φ = 53205315968.

The previous prime is 137763765109. The next prime is 137763765143. The reversal of 137763765140 is 41567367731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 931836676 + 136831928464 = 30526^2 + 369908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137763765143) 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, 118761287 + ... + 118762446.

It is an arithmetic number, because the mean of its divisors is an integer number (12469996035).

Almost surely, 2137763765140 is an apocalyptic number.

137763765140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137763765140 is an abundant number, since it is smaller than the sum of its proper divisors (161516139700).

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

137763765140 is a wasteful number, since it uses less digits than its factorization.

137763765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237523771 (or 237523769 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 137763765140 in words is "one hundred thirty-seven billion, seven hundred sixty-three million, seven hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 237523733 475047466 950094932 1187618665 2375237330 4750474660 6888188257 13776376514 27552753028 34440941285 68881882570 137763765140