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137296927296 = 2632154392
BaseRepresentation
bin111111111011110001…
…0001101101001000000
3111010101110101120002100
41333313202031221000
54222141003133141
6143023501350400
712630226424604
oct1776742155100
9433343346070
10137296927296
1153255599661
1222738568400
13cc40870aa9
146906639504
1538887810b6
hex1ff788da40

137296927296 has 63 divisors (see below), whose sum is σ = 393562343811. Its totient is φ = 45762678144.

The previous prime is 137296927289. The next prime is 137296927363. The reversal of 137296927296 is 692729692731.

The square root of 137296927296 is 370536.

It is a perfect power (a square), and thus also a powerful number.

137296927296 is a `hidden beast` number, since 1 + 37 + 296 + 9 + 27 + 296 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8885145 + ... + 8900583.

Almost surely, 2137296927296 is an apocalyptic number.

137296927296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137296927296 is the 370536-th square number.

It is an amenable number.

137296927296 is an abundant number, since it is smaller than the sum of its proper divisors (256265416515).

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

137296927296 is an frugal number, since it uses more digits than its factorization.

137296927296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30896 (or 15444 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 137296927296 in words is "one hundred thirty-seven billion, two hundred ninety-six million, nine hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15439 30878 46317 61756 92634 123512 138951 185268 247024 277902 370536 494048 555804 741072 988096 1111608 1482144 2223216 2964288 4446432 8892864 238362721 476725442 715088163 953450884 1430176326 1906901768 2145264489 2860352652 3813803536 4290528978 5720705304 7627607072 8581057956 11441410608 15255214144 17162115912 22882821216 34324231824 45765642432 68648463648 137296927296