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53460342208 = 267313316043
BaseRepresentation
bin110001110010011111…
…000001010111000000
312002222202001202202101
4301302133001113000
51333441321422313
640320452400144
73601540261000
oct616237012700
9162882052671
1053460342208
1120743a733a9
12a43b916054
13506c9324b0
142832128000
1515cd56b5dd
hexc727c15c0

53460342208 has 224 divisors, whose sum is σ = 137551769600. Its totient is φ = 20463528960.

The previous prime is 53460342203. The next prime is 53460342209. The reversal of 53460342208 is 80224306435.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×534603422084 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53460342203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8843635 + ... + 8849677.

It is an arithmetic number, because the mean of its divisors is an integer number (614070400).

Almost surely, 253460342208 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 53460342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68775884800).

53460342208 is an abundant number, since it is smaller than the sum of its proper divisors (84091427392).

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

53460342208 is a wasteful number, since it uses less digits than its factorization.

53460342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 53460342208 in words is "fifty-three billion, four hundred sixty million, three hundred forty-two thousand, two hundred eight".