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53926629120 = 2833571321319
BaseRepresentation
bin110010001110010001…
…110000111100000000
312011012020110121011000
4302032101300330000
51340420204112440
640435030452000
73616231533030
oct621621607400
9164166417130
1053926629120
11209631a3691
12a54bb04000
135115412500
1428780258c0
151609475730
hexc8e470f00

53926629120 has 864 divisors, whose sum is σ = 236999347200. Its totient is φ = 11369299968.

The previous prime is 53926629073. The next prime is 53926629137. The reversal of 53926629120 is 2192662935.

53926629120 is a `hidden beast` number, since 5 + 3 + 9 + 2 + 6 + 629 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 40883821 + ... + 40885139.

It is an arithmetic number, because the mean of its divisors is an integer number (274304800).

Almost surely, 253926629120 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 53926629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118499673600).

53926629120 is an abundant number, since it is smaller than the sum of its proper divisors (183072718080).

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

53926629120 is a wasteful number, since it uses less digits than its factorization.

53926629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 53926629120 in words is "fifty-three billion, nine hundred twenty-six million, six hundred twenty-nine thousand, one hundred twenty".