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252344330550 = 23252131712771987
BaseRepresentation
bin1110101100000011100…
…1001110100100110110
3220010100022101012001200
43223000321032210312
513113300122034200
6311531514433330
724142220263464
oct3530071164466
9803308335050
10252344330550
1198022883514
1240aa5732846
131aa46985a30
14c2dbcdd834
15686da45800
hex3ac0e4e936

252344330550 has 288 divisors, whose sum is σ = 774059019552. Its totient is φ = 58386493440.

The previous prime is 252344330543. The next prime is 252344330587. The reversal of 252344330550 is 55033443252.

252344330550 is a `hidden beast` number, since 2 + 5 + 2 + 34 + 43 + 30 + 550 = 666.

252344330550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2523443305502 (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 126996657 + ... + 126998643.

It is an arithmetic number, because the mean of its divisors is an integer number (2687704929).

Almost surely, 2252344330550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252344330550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387029509776).

252344330550 is an abundant number, since it is smaller than the sum of its proper divisors (521714689002).

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

252344330550 is a wasteful number, since it uses less digits than its factorization.

252344330550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 252344330550 in words is "two hundred fifty-two billion, three hundred forty-four million, three hundred thirty thousand, five hundred fifty".