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252322713728 = 2729215312
BaseRepresentation
bin1110101011111110011…
…0110001000010000000
3220010021210200221100122
43222333212301002000
513113224103314403
6311525423235412
724141535451621
oct3527746610200
9803253627318
10252322713728
1198011659478
1240a9a448b68
131aa42357707
14c2d90b3a48
15686bbc5838
hex3abf9b1080

252322713728 has 72 divisors (see below), whose sum is σ = 520945722765. Its totient is φ = 121731402240.

The previous prime is 252322713691. The next prime is 252322713737. The reversal of 252322713728 is 827317223252.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 252172700224 + 150013504 = 502168^2 + 12248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=355192.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164808323 + ... + 164809853.

Almost surely, 2252322713728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252322713728

252322713728 is an abundant number, since it is smaller than the sum of its proper divisors (268623009037).

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

252322713728 is an frugal number, since it uses more digits than its factorization.

252322713728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 1562 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The spelling of 252322713728 in words is "two hundred fifty-two billion, three hundred twenty-two million, seven hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 841 928 1531 1682 1856 3062 3364 3712 6124 6728 12248 13456 24496 26912 44399 48992 53824 88798 97984 107648 177596 195968 355192 710384 1287571 1420768 2343961 2575142 2841536 4687922 5150284 5683072 9375844 10300568 18751688 20601136 37503376 41202272 67974869 75006752 82404544 135949738 150013504 164809088 271899476 300027008 543798952 1087597904 1971271201 2175195808 3942542402 4350391616 7885084804 8700783232 15770169608 31540339216 63080678432 126161356864 252322713728