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48931952832 = 26327791491031
BaseRepresentation
bin101101100100100100…
…100101100011000000
311200022011002202100100
4231210210211203000
51300203034442312
634251245322400
73351402510420
oct554444454300
9150264082310
1048931952832
111982a8a2444
129597266400
1347ca6c8b59
14252294c480
151415c215dc
hexb649258c0

48931952832 has 336 divisors, whose sum is σ = 163567872000. Its totient is φ = 13697648640.

The previous prime is 48931952827. The next prime is 48931952833. The reversal of 48931952832 is 23825913984.

48931952832 is a `hidden beast` number, since 4 + 89 + 3 + 1 + 9 + 528 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (48931952833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47460157 + ... + 47461187.

Almost surely, 248931952832 is an apocalyptic number.

48931952832 is a gapful number since it is divisible by the number (42) 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 48931952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81783936000).

48931952832 is an abundant number, since it is smaller than the sum of its proper divisors (114635919168).

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

48931952832 is a wasteful number, since it uses less digits than its factorization.

48931952832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1271 counting only the distinct ones).

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

The spelling of 48931952832 in words is "forty-eight billion, nine hundred thirty-one million, nine hundred fifty-two thousand, eight hundred thirty-two".