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53974287360 = 2103357172193
BaseRepresentation
bin110010010001000111…
…100100010000000000
312011022120010212222000
4302101013210100000
51341014404143420
640443452144000
73620350605240
oct622107442000
9164276125860
1053974287360
1120988094a64
12a563a68000
13512225aa56
1428804adb20
15160d73b690
hexc911e4400

53974287360 has 1056 divisors, whose sum is σ = 234077233920. Its totient is φ = 11551113216.

The previous prime is 53974287347. The next prime is 53974287361. The reversal of 53974287360 is 6378247935.

53974287360 is a `hidden beast` number, since 5 + 3 + 97 + 428 + 73 + 60 = 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 = 53974287297 and 53974287306.

It is not an unprimeable number, because it can be changed into a prime (53974287361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279659424 + ... + 279659616.

Almost surely, 253974287360 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 53974287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117038616960).

53974287360 is an abundant number, since it is smaller than the sum of its proper divisors (180102946560).

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

53974287360 is a wasteful number, since it uses less digits than its factorization.

53974287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 53974287360 in words is "fifty-three billion, nine hundred seventy-four million, two hundred eighty-seven thousand, three hundred sixty".