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53928516096 = 2933713163263
BaseRepresentation
bin110010001110011000…
…111101101000000000
312011012101000110121000
4302032120331220000
51340421200003341
640435135132000
73616253552310
oct621630755000
9164171013530
1053928516096
1120964272374
12a550674000
135115923370
142878397440
1516096e98b6
hexc8e63da00

53928516096 has 640 divisors, whose sum is σ = 198427299840. Its totient is φ = 14081900544.

The previous prime is 53928516071. The next prime is 53928516097. The reversal of 53928516096 is 69061582935.

It is a happy number.

53928516096 is a `hidden beast` number, since 5 + 3 + 9 + 28 + 5 + 1 + 609 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53928516097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205051261 + ... + 205051523.

It is an arithmetic number, because the mean of its divisors is an integer number (310042656).

Almost surely, 253928516096 is an apocalyptic number.

53928516096 is a gapful number since it is divisible by the number (56) 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 53928516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99213649920).

53928516096 is an abundant number, since it is smaller than the sum of its proper divisors (144498783744).

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

53928516096 is a wasteful number, since it uses less digits than its factorization.

53928516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 53928516096 in words is "fifty-three billion, nine hundred twenty-eight million, five hundred sixteen thousand, ninety-six".