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137592012768 = 2537204750019
BaseRepresentation
bin1000000000100100011…
…1110111111111100000
3111011011000122110020220
42000021013313333200
54223242023402033
6143113042203040
712640441545240
oct2001107677740
9434130573226
10137592012768
1153397116751
12227bb353480
13cc89a3a992
1469338cdb20
1538a461dbb3
hex20091f7fe0

137592012768 has 48 divisors (see below), whose sum is σ = 412776040320. Its totient is φ = 39312003456.

The previous prime is 137592012763. The next prime is 137592012797. The reversal of 137592012768 is 867210295731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137592012768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137592012763) 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, 102374338 + ... + 102375681.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500840).

Almost surely, 2137592012768 is an apocalyptic number.

It is an amenable number.

137592012768 is an abundant number, since it is smaller than the sum of its proper divisors (275184027552).

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

137592012768 is a wasteful number, since it uses less digits than its factorization.

137592012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204750039 (or 204750031 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 137592012768 in words is "one hundred thirty-seven billion, five hundred ninety-two million, twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 204750019 409500038 614250057 819000076 1228500114 1433250133 1638000152 2457000228 2866500266 3276000304 4299750399 4914000456 5733000532 6552000608 8599500798 9828000912 11466001064 17199001596 19656001824 22932002128 34398003192 45864004256 68796006384 137592012768