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48917385216 = 21235721759
BaseRepresentation
bin101101100011101101…
…000001000000000000
311200021010200122100000
4231203231001000000
51300140322311331
634250005200000
73351134625300
oct554355010000
9150233618300
1048917385216
1119822652597
129592400000
1347c769826b
142520a39600
1514147e50e6
hexb63b41000

48917385216 has 936 divisors, whose sum is σ = 183542617440. Its totient is φ = 12931301376.

The previous prime is 48917385197. The next prime is 48917385271. The reversal of 48917385216 is 61258371984.

48917385216 is a `hidden beast` number, since 4 + 89 + 1 + 7 + 38 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829108195 + ... + 829108253.

It is an arithmetic number, because the mean of its divisors is an integer number (196092540).

Almost surely, 248917385216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48917385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91771308720).

48917385216 is an abundant number, since it is smaller than the sum of its proper divisors (134625232224).

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

48917385216 is an equidigital number, since it uses as much as digits as its factorization.

48917385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 48917385216 in words is "forty-eight billion, nine hundred seventeen million, three hundred eighty-five thousand, two hundred sixteen".