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53474396976 = 243273111367113
BaseRepresentation
bin110001110011010100…
…101000101100110000
312010000201111211021100
4301303110220230300
51334003421200401
640322113524400
73602100606000
oct616324505460
9163021454240
1053474396976
11207509a2a10
12a444573700
135072813820
142833d46000
1515ce8e5b86
hexc73528b30

53474396976 has 960 divisors, whose sum is σ = 209936563200. Its totient is φ = 12517908480.

The previous prime is 53474396947. The next prime is 53474397049. The reversal of 53474396976 is 67969347435.

53474396976 is a `hidden beast` number, since 5 + 3 + 474 + 3 + 96 + 9 + 76 = 666.

It is a super-2 number, since 2×534743969762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (102876480) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 473224696 + ... + 473224808.

It is an arithmetic number, because the mean of its divisors is an integer number (218683920).

Almost surely, 253474396976 is an apocalyptic number.

53474396976 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 53474396976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104968281600).

53474396976 is an abundant number, since it is smaller than the sum of its proper divisors (156462166224).

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

53474396976 is a wasteful number, since it uses less digits than its factorization.

53474396976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 53474396976 in words is "fifty-three billion, four hundred seventy-four million, three hundred ninety-six thousand, nine hundred seventy-six".