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138236680501920 = 253257111327377061
BaseRepresentation
bin11111011011100110111100…
…001111000111101010100000
3200010110022000221111221022200
4133123212330033013222200
5121104332210202030140
61210001015422333200
741055161544614610
oct3733467417075240
9603408027457280
10138236680501920
1140056935358660
121360724072a200
135c198808cc900
14261c9962b6a40
1510eacbed15030
hex7db9bc3c7aa0

138236680501920 has 864 divisors, whose sum is σ = 636855506711424. Its totient is φ = 26514924134400.

The previous prime is 138236680501919. The next prime is 138236680501939. The reversal of 138236680501920 is 29105086632831.

138236680501920 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 36 + 6 + 80 + 501 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15050190 + ... + 22427250.

It is an arithmetic number, because the mean of its divisors is an integer number (737101280916).

Almost surely, 2138236680501920 is an apocalyptic number.

138236680501920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138236680501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427753355712).

138236680501920 is an abundant number, since it is smaller than the sum of its proper divisors (498618826209504).

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

138236680501920 is a wasteful number, since it uses less digits than its factorization.

138236680501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377126 (or 7377102 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 138236680501920 in words is "one hundred thirty-eight trillion, two hundred thirty-six billion, six hundred eighty million, five hundred one thousand, nine hundred twenty".