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48720812160 = 2735139311587
BaseRepresentation
bin101101010111111111…
…001001100010000000
311122202102210200210110
4231113333021202000
51244240011442120
634214304031320
73343230033066
oct552777114200
9148672720713
1048720812160
11197316a0319
129538602540
134795a40a47
1425028aa036
1514024162e0
hexb57fc9880

48720812160 has 256 divisors, whose sum is σ = 157185100800. Its totient is φ = 12835368960.

The previous prime is 48720812141. The next prime is 48720812183. The reversal of 48720812160 is 6121802784.

It is a happy number.

48720812160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82999387 + ... + 82999973.

It is an arithmetic number, because the mean of its divisors is an integer number (614004300).

Almost surely, 248720812160 is an apocalyptic number.

48720812160 is a gapful number since it is divisible by the number (40) 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 48720812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78592550400).

48720812160 is an abundant number, since it is smaller than the sum of its proper divisors (108464288640).

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

48720812160 is a wasteful number, since it uses less digits than its factorization.

48720812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 48720812160 in words is "forty-eight billion, seven hundred twenty million, eight hundred twelve thousand, one hundred sixty".