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52452889632 = 253311132172113
BaseRepresentation
bin110000110110011011…
…111001010000100000
312000101112100212122000
4300312123321100200
51324410414432012
640032503244000
73534555130323
oct606633712040
9160345325560
1052452889632
112027731a370
12a1ba449600
134c3bcb6100
1427783da7ba
15156edb6ddc
hexc366f9420

52452889632 has 864 divisors, whose sum is σ = 193676132160. Its totient is φ = 13686865920.

The previous prime is 52452889597. The next prime is 52452889651. The reversal of 52452889632 is 23698825425.

52452889632 is a `hidden beast` number, since 5 + 2 + 4 + 528 + 89 + 6 + 32 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 464184808 + ... + 464184920.

It is an arithmetic number, because the mean of its divisors is an integer number (224162190).

Almost surely, 252452889632 is an apocalyptic number.

52452889632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52452889632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96838066080).

52452889632 is an abundant number, since it is smaller than the sum of its proper divisors (141223242528).

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

52452889632 is a wasteful number, since it uses less digits than its factorization.

52452889632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 159 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 52452889632 in words is "fifty-two billion, four hundred fifty-two million, eight hundred eighty-nine thousand, six hundred thirty-two".