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253661512260 = 2235131301249967
BaseRepresentation
bin1110110000111101100…
…1111000001001000100
3220020202002212221200110
43230033121320021010
513123444321343020
6312310330313020
724216653164422
oct3541731701104
9806662787613
10253661512260
1198639346642
12411b2888770
131abc68283b0
14c3c4c14112
1568e94cb8e0
hex3b0f678244

253661512260 has 96 divisors (see below), whose sum is σ = 765478006272. Its totient is φ = 62391513600.

The previous prime is 253661512253. The next prime is 253661512297. The reversal of 253661512260 is 62215166352.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889797 + ... + 1139763.

It is an arithmetic number, because the mean of its divisors is an integer number (7973729232).

Almost surely, 2253661512260 is an apocalyptic number.

253661512260 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 253661512260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382739003136).

253661512260 is an abundant number, since it is smaller than the sum of its proper divisors (511816494012).

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

253661512260 is a wasteful number, since it uses less digits than its factorization.

253661512260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251293 (or 251291 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 253661512260 in words is "two hundred fifty-three billion, six hundred sixty-one million, five hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1301 2602 3903 5204 6505 7806 13010 15612 16913 19515 26020 33826 39030 50739 67652 78060 84565 101478 169130 202956 249967 253695 338260 499934 507390 749901 999868 1014780 1249835 1499802 2499670 2999604 3249571 3749505 4999340 6499142 7499010 9748713 12998284 14998020 16247855 19497426 32495710 38994852 48743565 64991420 97487130 194974260 325207067 650414134 975621201 1300828268 1626035335 1951242402 3252070670 3902484804 4227691871 4878106005 6504141340 8455383742 9756212010 12683075613 16910767484 19512424020 21138459355 25366151226 42276918710 50732302452 63415378065 84553837420 126830756130 253661512260