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252494161920 = 2113257211131723
BaseRepresentation
bin1110101100100111010…
…0110010100000000000
3220010201202022102001200
43223021310302200000
513114102001140140
6311554430101200
724146016651600
oct3531164624000
9803652272050
10252494161920
119809a40aaa0
1240b2794a800
131aa6ba25c50
14c313b82c00
15687bc90030
hex3ac9d32800

252494161920 has 3456 divisors, whose sum is σ = 1321345509120. Its totient is φ = 43599790080.

The previous prime is 252494161919. The next prime is 252494161921. The reversal of 252494161920 is 29161494252.

252494161920 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 9 + 4 + 1 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (252494161919) and next prime (252494161921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252494161921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10978007029 + ... + 10978007051.

It is an arithmetic number, because the mean of its divisors is an integer number (382333770).

Almost surely, 2252494161920 is an apocalyptic number.

252494161920 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 252494161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672754560).

252494161920 is an abundant number, since it is smaller than the sum of its proper divisors (1068851347200).

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

252494161920 is a wasteful number, since it uses less digits than its factorization.

252494161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 252494 and 161920, that added together give a palindrome (414414).

The spelling of 252494161920 in words is "two hundred fifty-two billion, four hundred ninety-four million, one hundred sixty-one thousand, nine hundred twenty".