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20137931520 = 283572332573
BaseRepresentation
bin10010110000010100…
…000111001100000000
31220222110001220201120
4102300110013030000
5312220302302040
613130133432240
71312015410420
oct226024071400
956873056646
1020137931520
1185a4379013
123aa019b680
131b8c13c615
14d9074c480
157cce147d0
hex4b0507300

20137931520 has 288 divisors, whose sum is σ = 76701606912. Its totient is φ = 4402692096.

The previous prime is 20137931467. The next prime is 20137931573. The reversal of 20137931520 is 2513973102.

It is an interprime number because it is at equal distance from previous prime (20137931467) and next prime (20137931573).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601954 + ... + 634526.

It is an arithmetic number, because the mean of its divisors is an integer number (266325024).

Almost surely, 220137931520 is an apocalyptic number.

20137931520 is a gapful number since it is divisible by the number (20) 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 20137931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350803456).

20137931520 is an abundant number, since it is smaller than the sum of its proper divisors (56563675392).

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

20137931520 is a wasteful number, since it uses less digits than its factorization.

20137931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32627 (or 32613 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 20137931520 in words is "twenty billion, one hundred thirty-seven million, nine hundred thirty-one thousand, five hundred twenty".