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53435543040 = 29325112389103
BaseRepresentation
bin110001110001000000…
…011010111000000000
312002221000101211200200
4301301000122320000
51333413444334130
640314205045200
73601116423135
oct616100327000
9162830354620
1053435543040
1120730a75420
12a433556800
13506775b829
14282cb1058c
1515cb2bd760
hexc7101ae00

53435543040 has 960 divisors, whose sum is σ = 215099089920. Its totient is φ = 12132679680.

The previous prime is 53435543033. The next prime is 53435543053. The reversal of 53435543040 is 4034553435.

53435543040 is a `hidden beast` number, since 5 + 34 + 3 + 554 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 53435542986 and 53435543004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518791629 + ... + 518791731.

It is an arithmetic number, because the mean of its divisors is an integer number (224061552).

Almost surely, 253435543040 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 53435543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107549544960).

53435543040 is an abundant number, since it is smaller than the sum of its proper divisors (161663546880).

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

53435543040 is a wasteful number, since it uses less digits than its factorization.

53435543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 53435543040 in words is "fifty-three billion, four hundred thirty-five million, five hundred forty-three thousand, forty".