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53856430848 = 2834111721943
BaseRepresentation
bin110010001010000101…
…111110101100000000
312011000100101011020000
4302022011332230000
51340244221241343
640424042120000
73614420052243
oct621205765400
9164010334200
1053856430848
1120927607690
12a5304b0000
135103a0467c
14286c99125a
15160320aed3
hexc8a17eb00

53856430848 has 1080 divisors, whose sum is σ = 200451155520. Its totient is φ = 14213283840.

The previous prime is 53856430841. The next prime is 53856430853. The reversal of 53856430848 is 84803465835.

53856430848 is a `hidden beast` number, since 5 + 3 + 8 + 564 + 30 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53856430794 and 53856430803.

It is not an unprimeable number, because it can be changed into a prime (53856430841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1252475115 + ... + 1252475157.

Almost surely, 253856430848 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 53856430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100225577760).

53856430848 is an abundant number, since it is smaller than the sum of its proper divisors (146594724672).

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

53856430848 is a wasteful number, since it uses less digits than its factorization.

53856430848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 53856430848 in words is "fifty-three billion, eight hundred fifty-six million, four hundred thirty thousand, eight hundred forty-eight".