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53947918080 = 28345733741
BaseRepresentation
bin110010001111100010…
…111110011100000000
312011020201112012010000
4302033202332130000
51340441131334310
640441111040000
73616610511000
oct621742763400
9164221465100
1053947918080
1120974214371
12a557070000
135119957524
14287aba8000
15160b27d4c0
hexc8f8be700

53947918080 has 1440 divisors, whose sum is σ = 236837462400. Its totient is φ = 11705057280.

The previous prime is 53947918049. The next prime is 53947918127. The reversal of 53947918080 is 8081974935.

53947918080 is a `hidden beast` number, since 5 + 394 + 79 + 180 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1315802860 + ... + 1315802900.

It is an arithmetic number, because the mean of its divisors is an integer number (164470460).

Almost surely, 253947918080 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 53947918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118418731200).

53947918080 is an abundant number, since it is smaller than the sum of its proper divisors (182889544320).

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

53947918080 is an equidigital number, since it uses as much as digits as its factorization.

53947918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 53947918080 in words is "fifty-three billion, nine hundred forty-seven million, nine hundred eighteen thousand, eighty".