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53157282048 = 2833131722389
BaseRepresentation
bin110001100000011010…
…111100000100000000
312002012121210201101000
4301200122330010000
51332331231011143
640230425012000
73561200304453
oct614032740400
9162177721330
1053157282048
11205a8999862
12a376324000
135021c02860
142803b9949a
1515b1b55bd3
hexc606bc100

53157282048 has 864 divisors, whose sum is σ = 189758419200. Its totient is φ = 14559215616.

The previous prime is 53157282041. The next prime is 53157282067. The reversal of 53157282048 is 84028275135.

53157282048 is a `hidden beast` number, since 5 + 31 + 572 + 8 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 53157281994 and 53157282012.

It is not an unprimeable number, because it can be changed into a prime (53157282041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597272788 + ... + 597272876.

It is an arithmetic number, because the mean of its divisors is an integer number (219627800).

Almost surely, 253157282048 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 53157282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94879209600).

53157282048 is an abundant number, since it is smaller than the sum of its proper divisors (136601137152).

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

53157282048 is a wasteful number, since it uses less digits than its factorization.

53157282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 53157282048 in words is "fifty-three billion, one hundred fifty-seven million, two hundred eighty-two thousand, forty-eight".