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252775242720 = 2532571113296047
BaseRepresentation
bin1110101101101010010…
…1000001101111100000
3220011110100012210102200
43223122211001233200
513120140430231340
6312042350413200
724156002053260
oct3533245015740
9804410183380
10252775242720
1198224042180
1240ba5b01200
131aab502b550
14c33d22d7a0
1568967b3330
hex3ada941be0

252775242720 has 1152 divisors, whose sum is σ = 1198305239040. Its totient is φ = 46804746240.

The previous prime is 252775242703. The next prime is 252775242737. The reversal of 252775242720 is 27242577252.

252775242720 is a `hidden beast` number, since 2 + 52 + 7 + 7 + 524 + 2 + 72 + 0 = 666.

252775242720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252775242703) and next prime (252775242737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 41798737 + ... + 41804783.

It is an arithmetic number, because the mean of its divisors is an integer number (1040195520).

Almost surely, 2252775242720 is an apocalyptic number.

252775242720 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 252775242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599152619520).

252775242720 is an abundant number, since it is smaller than the sum of its proper divisors (945529996320).

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

252775242720 is a wasteful number, since it uses less digits than its factorization.

252775242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 252775242720 in words is "two hundred fifty-two billion, seven hundred seventy-five million, two hundred forty-two thousand, seven hundred twenty".