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52477837632 = 26331129313783
BaseRepresentation
bin110000110111111011…
…000100000101000000
312000110021022100212000
4300313323010011000
51324433311301012
640035154104000
73535310155113
oct606773040500
9160407270760
1052477837632
112028a40a150
12a20687b000
134c4420c73c
14277b85257a
151572193ddc
hexc37ec4140

52477837632 has 896 divisors, whose sum is σ = 186800947200. Its totient is φ = 14282956800.

The previous prime is 52477837613. The next prime is 52477837717. The reversal of 52477837632 is 23673877425.

52477837632 is a `hidden beast` number, since 524 + 7 + 7 + 83 + 7 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11854080) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632263063 + ... + 632263145.

It is an arithmetic number, because the mean of its divisors is an integer number (208483200).

Almost surely, 252477837632 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 52477837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93400473600).

52477837632 is an abundant number, since it is smaller than the sum of its proper divisors (134323109568).

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

52477837632 is a wasteful number, since it uses less digits than its factorization.

52477837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 52477837632 in words is "fifty-two billion, four hundred seventy-seven million, eight hundred thirty-seven thousand, six hundred thirty-two".