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253138082568 = 23371871805331
BaseRepresentation
bin1110101111000000110…
…1001001101100001000
3220012101121221222010120
43223300031021230020
513121411322120233
6312142351343240
724200666125350
oct3536015115410
9805347858116
10253138082568
119839a937118
1241087521b20
131ab4225ba97
14c3754bdb60
1568b85864b3
hex3af0349b08

253138082568 has 64 divisors (see below), whose sum is σ = 723639121920. Its totient is φ = 72286420800.

The previous prime is 253138082557. The next prime is 253138082573. The reversal of 253138082568 is 865280831352.

It is a self number, because there is not a number n which added to its sum of digits gives 253138082568.

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 15 ways as a sum of consecutive naturals, for example, 88338 + ... + 716993.

It is an arithmetic number, because the mean of its divisors is an integer number (11306861280).

Almost surely, 2253138082568 is an apocalyptic number.

253138082568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

253138082568 is an abundant number, since it is smaller than the sum of its proper divisors (470501039352).

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

253138082568 is a wasteful number, since it uses less digits than its factorization.

253138082568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807218 (or 807214 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 253138082568 in words is "two hundred fifty-three billion, one hundred thirty-eight million, eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1871 3742 5613 7484 11226 13097 14968 22452 26194 39291 44904 52388 78582 104776 157164 314328 805331 1610662 2415993 3221324 4831986 5637317 6442648 9663972 11274634 16911951 19327944 22549268 33823902 45098536 67647804 135295608 1506774301 3013548602 4520322903 6027097204 9040645806 10547420107 12054194408 18081291612 21094840214 31642260321 36162583224 42189680428 63284520642 84379360856 126569041284 253138082568