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52188095232 = 28367213439
BaseRepresentation
bin110000100110101001…
…110010001100000000
311222201002002221000000
4300212221302030000
51323340123021412
635550324000000
73525161330100
oct604651621400
9158632087000
1052188095232
1120150901419
12a145830000
134bc9193830
14275118d200
151556a0e4dc
hexc26a72300

52188095232 has 756 divisors, whose sum is σ = 196108595760. Its totient is φ = 13732540416.

The previous prime is 52188095231. The next prime is 52188095273. The reversal of 52188095232 is 23259088125.

52188095232 is a `hidden beast` number, since 521 + 8 + 8 + 0 + 95 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×521880952322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52188095231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 118879269 + ... + 118879707.

Almost surely, 252188095232 is an apocalyptic number.

52188095232 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 52188095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98054297880).

52188095232 is an abundant number, since it is smaller than the sum of its proper divisors (143920500528).

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

52188095232 is an equidigital number, since it uses as much as digits as its factorization.

52188095232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 52188095232 in words is "fifty-two billion, one hundred eighty-eight million, ninety-five thousand, two hundred thirty-two".