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52142123520 = 29355791061
BaseRepresentation
bin110000100011111010…
…011010101000000000
311222120212121022200000
4300203322122220000
51323241340423040
635542002400000
73524062510554
oct604372325000
9158525538600
1052142123520
1120127962173
12a132360000
134bbc7b8b36
142749023864
15155297d130
hexc23e9aa00

52142123520 has 480 divisors, whose sum is σ = 189820350720. Its totient is φ = 13715619840.

The previous prime is 52142123513. The next prime is 52142123533. The reversal of 52142123520 is 2532124125.

52142123520 is a `hidden beast` number, since 5 + 2 + 1 + 421 + 235 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49143790 + ... + 49144850.

It is an arithmetic number, because the mean of its divisors is an integer number (395459064).

Almost surely, 252142123520 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 52142123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910175360).

52142123520 is an abundant number, since it is smaller than the sum of its proper divisors (137678227200).

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

52142123520 is an equidigital number, since it uses as much as digits as its factorization.

52142123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 52142123520 its reverse (2532124125), we get a palindrome (54674247645).

The spelling of 52142123520 in words is "fifty-two billion, one hundred forty-two million, one hundred twenty-three thousand, five hundred twenty".