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252754570740 = 223577325732077
BaseRepresentation
bin1110101101100101011…
…0001010110111110100
3220011101220022112210210
43223121112022313310
513120120132230430
6312040331345420
724155331255150
oct3533126126764
9804356275723
10252754570740
1198213402aa1
1240b9abb2270
131aab09712c9
14c33a5ac060
156894a7d2b0
hex3ad958adf4

252754570740 has 192 divisors, whose sum is σ = 823110188544. Its totient is φ = 56757583872.

The previous prime is 252754570727. The next prime is 252754570741. The reversal of 252754570740 is 47075457252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252754570740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252754570741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7863582 + ... + 7895658.

It is an arithmetic number, because the mean of its divisors is an integer number (4287032232).

Almost surely, 2252754570740 is an apocalyptic number.

252754570740 is a gapful number since it is divisible by the number (20) 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 252754570740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411555094272).

252754570740 is an abundant number, since it is smaller than the sum of its proper divisors (570355617804).

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

252754570740 is a wasteful number, since it uses less digits than its factorization.

252754570740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32426 (or 32424 counting only the distinct ones).

The product of its (nonzero) digits is 2744000, while the sum is 48.

The spelling of 252754570740 in words is "two hundred fifty-two billion, seven hundred fifty-four million, five hundred seventy thousand, seven hundred forty".