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252750897120 = 25352343532421
BaseRepresentation
bin1110101101100100100…
…0001001111111100000
3220011101122101220112210
43223121020021333200
513120113212201440
6312040120522120
724155255114661
oct3533110117740
9804348356483
10252750897120
1198211323a47
1240b99920340
131aaacc86177
14c339cd3368
1568945a4a80
hex3ad9209fe0

252750897120 has 192 divisors, whose sum is σ = 850103299584. Its totient is φ = 62970378240.

The previous prime is 252750897109. The next prime is 252750897121. The reversal of 252750897120 is 21798057252.

252750897120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252750897120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252750897121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208510 + ... + 740930.

It is an arithmetic number, because the mean of its divisors is an integer number (4427621352).

Almost surely, 2252750897120 is an apocalyptic number.

252750897120 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 252750897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425051649792).

252750897120 is an abundant number, since it is smaller than the sum of its proper divisors (597352402464).

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

252750897120 is a wasteful number, since it uses less digits than its factorization.

252750897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532505 (or 532497 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 252750897120 in words is "two hundred fifty-two billion, seven hundred fifty million, eight hundred ninety-seven thousand, one hundred twenty".