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253908722960 = 2453173859037
BaseRepresentation
bin1110110001111000100…
…0111010010100010000
3220021101100001120000022
43230132020322110100
513130001113113320
6312351041043012
724226044351344
oct3543610722420
9807340046008
10253908722960
1198755944702
1241261626468
131ac35b02309
14c4099a5624
15691105e325
hex3b1e23a510

253908722960 has 20 divisors (see below), whose sum is σ = 590337781068. Its totient is φ = 101563489152.

The previous prime is 253908722923. The next prime is 253908722983. The reversal of 253908722960 is 69227809352.

It can be written as a sum of positive squares in 2 ways, for example, as 46297268224 + 207611454736 = 215168^2 + 455644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1586929439 + ... + 1586929598.

Almost surely, 2253908722960 is an apocalyptic number.

253908722960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253908722960 is an abundant number, since it is smaller than the sum of its proper divisors (336429058108).

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

253908722960 is a wasteful number, since it uses less digits than its factorization.

253908722960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173859050 (or 3173859044 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 253908722960 in words is "two hundred fifty-three billion, nine hundred eight million, seven hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3173859037 6347718074 12695436148 15869295185 25390872296 31738590370 50781744592 63477180740 126954361480 253908722960