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48220139520 = 2123257219281
BaseRepresentation
bin101100111010001001…
…001111000000000000
311121110112200220001100
4230322021033000000
51242223323431040
634052500534400
73324640265100
oct547211170000
9147415626040
1048220139520
11194a5014583
1294189b1400
1347160b1747
1424961bb200
1513c34b8b30
hexb3a24f000

48220139520 has 936 divisors, whose sum is σ = 205392929040. Its totient is φ = 10404495360.

The previous prime is 48220139503. The next prime is 48220139521. The reversal of 48220139520 is 2593102284.

It is a happy number.

48220139520 is a `hidden beast` number, since 4 + 82 + 20 + 1 + 39 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48220139521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171601780 + ... + 171602060.

It is an arithmetic number, because the mean of its divisors is an integer number (219436890).

Almost surely, 248220139520 is an apocalyptic number.

48220139520 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 48220139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102696464520).

48220139520 is an abundant number, since it is smaller than the sum of its proper divisors (157172789520).

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

48220139520 is a wasteful number, since it uses less digits than its factorization.

48220139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 48220139520 in words is "forty-eight billion, two hundred twenty million, one hundred thirty-nine thousand, five hundred twenty".