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53958853057560 = 23351125059734567
BaseRepresentation
bin11000100010011010001100…
…10001001101110000011000
321002001102020020121201022220
430101031012101031300120
524033030212340320220
6310432204353344040
714236253452246023
oct1421150621156030
9232042206551286
1053958853057560
1116213903934900
126075706868020
1324153b4960999
14d4789dcdc1ba
156388d85c8540
hex31134644dc18

53958853057560 has 192 divisors, whose sum is σ = 177965846150400. Its totient is φ = 13078330594560.

The previous prime is 53958853057547. The next prime is 53958853057621. The reversal of 53958853057560 is 6575035885935.

It is a Cunningham number, because it is equal to 73456692-1.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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, 73089397 + ... + 73823963.

It is an arithmetic number, because the mean of its divisors is an integer number (926905448700).

Almost surely, 253958853057560 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 53958853057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88982923075200).

53958853057560 is an abundant number, since it is smaller than the sum of its proper divisors (124006993092840).

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

53958853057560 is a wasteful number, since it uses less digits than its factorization.

53958853057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739662 (or 739647 counting only the distinct ones).

The product of its (nonzero) digits is 680400000, while the sum is 69.

The spelling of 53958853057560 in words is "fifty-three trillion, nine hundred fifty-eight billion, eight hundred fifty-three million, fifty-seven thousand, five hundred sixty".