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53353722240 = 27325713101789
BaseRepresentation
bin110001101100001000…
…010011000110000000
312002201022102220122200
4301230020103012000
51333232023102430
640302123233200
73566104104420
oct615410230600
9162638386580
1053353722240
1120699870225
12a410078800
135053811760
142821cd2480
1515c400a460
hexc6c213180

53353722240 has 384 divisors, whose sum is σ = 226755547200. Its totient is φ = 11256938496.

The previous prime is 53353722197. The next prime is 53353722251. The reversal of 53353722240 is 4222735335.

53353722240 is a `hidden beast` number, since 533 + 53 + 72 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53353722195 and 53353722204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473266 + ... + 575054.

Almost surely, 253353722240 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 53353722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113377773600).

53353722240 is an abundant number, since it is smaller than the sum of its proper divisors (173401824960).

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

53353722240 is a wasteful number, since it uses less digits than its factorization.

53353722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101834 (or 101819 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 53353722240 in words is "fifty-three billion, three hundred fifty-three million, seven hundred twenty-two thousand, two hundred forty".