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12792081240 = 23325175920201
BaseRepresentation
bin10111110100111011…
…11010101101011000
31020000111120001112200
423322131322231120
5202144233044430
65513202410200
7631666616331
oct137235725530
936014501480
1012792081240
115474883a74
122590060960
13128b2a4253
14894cc5288
154ed081460
hex2fa77ab58

12792081240 has 96 divisors (see below), whose sum is σ = 41599958400. Its totient is φ = 3409113600.

The previous prime is 12792081193. The next prime is 12792081271. The reversal of 12792081240 is 4218029721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12792081195 and 12792081204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623140 + ... + 643340.

It is an arithmetic number, because the mean of its divisors is an integer number (433332900).

Almost surely, 212792081240 is an apocalyptic number.

12792081240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12792081240 is an abundant number, since it is smaller than the sum of its proper divisors (28807877160).

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

12792081240 is a wasteful number, since it uses less digits than its factorization.

12792081240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21977 (or 21970 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12792081240 in words is "twelve billion, seven hundred ninety-two million, eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1759 3518 5277 7036 8795 10554 14072 15831 17590 20201 21108 26385 31662 35180 40402 42216 52770 60603 63324 70360 79155 80804 101005 105540 121206 126648 158310 161608 181809 202010 211080 242412 303015 316620 363618 404020 484824 606030 633240 727236 808040 909045 1212060 1454472 1818090 2424120 3636180 7272360 35533559 71067118 106600677 142134236 177667795 213201354 284268472 319802031 355335590 426402708 533003385 639604062 710671180 852805416 1066006770 1279208124 1421342360 1599010155 2132013540 2558416248 3198020310 4264027080 6396040620 12792081240