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53922422400 = 27352721117613
BaseRepresentation
bin110010001110000001…
…101101111010000000
312011011221112212121120
4302032001231322000
51340413120004100
640434400352240
73616151012400
oct621601557200
9164157485546
1053922422400
1120960890060
12a54a615680
13511459b822
14287764c800
151608de40a0
hexc8e06de80

53922422400 has 1152 divisors, whose sum is σ = 239033540160. Its totient is φ = 10528358400.

The previous prime is 53922422371. The next prime is 53922422447. The reversal of 53922422400 is 422422935.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87964494 + ... + 87965106.

Almost surely, 253922422400 is an apocalyptic number.

53922422400 is a gapful number since it is divisible by the number (50) 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 53922422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119516770080).

53922422400 is an abundant number, since it is smaller than the sum of its proper divisors (185111117760).

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

53922422400 is a wasteful number, since it uses less digits than its factorization.

53922422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 53922422400 in words is "fifty-three billion, nine hundred twenty-two million, four hundred twenty-two thousand, four hundred".