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12840612318 = 235251105263
BaseRepresentation
bin10111111010101110…
…00011000111011110
31020010212212200200000
423331113003013132
5202244144043233
65522054515130
7633126255342
oct137527030736
936125780600
1012840612318
11549a2110a6
1225a4365aa6
131298366b71
1489b519622
1550246ad13
hex2fd5c31de

12840612318 has 48 divisors (see below), whose sum is σ = 28966968576. Its totient is φ = 4263111000.

The previous prime is 12840612307. The next prime is 12840612341. The reversal of 12840612318 is 81321604821.

12840612318 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 612 + 31 + 8 = 666.

It is a Curzon number.

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, 69355 + ... + 174617.

It is an arithmetic number, because the mean of its divisors is an integer number (603478512).

Almost surely, 212840612318 is an apocalyptic number.

12840612318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840612318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483484288).

12840612318 is an abundant number, since it is smaller than the sum of its proper divisors (16126356258).

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

12840612318 is a wasteful number, since it uses less digits than its factorization.

12840612318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105531 (or 105519 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12840612318 in words is "twelve billion, eight hundred forty million, six hundred twelve thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 251 486 502 753 1506 2259 4518 6777 13554 20331 40662 60993 105263 121986 210526 315789 631578 947367 1894734 2842101 5684202 8526303 17052606 25578909 26421013 51157818 52842026 79263039 158526078 237789117 475578234 713367351 1426734702 2140102053 4280204106 6420306159 12840612318