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12817935840 = 253526704033
BaseRepresentation
bin10111111000000001…
…00010110111100000
31020002022012121101110
423330000202313200
5202222342421330
65515524503320
7632432441223
oct137400426740
936068177343
1012817935840
115488432a06
12259884ab40
131293757428
148984d55ba
1550048bdb0
hex2fc022de0

12817935840 has 48 divisors (see below), whose sum is σ = 40376499408. Its totient is φ = 3418116096.

The previous prime is 12817935827. The next prime is 12817935847. The reversal of 12817935840 is 4853971821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12817935840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12817935847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13351537 + ... + 13352496.

It is an arithmetic number, because the mean of its divisors is an integer number (841177071).

Almost surely, 212817935840 is an apocalyptic number.

12817935840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12817935840 is an abundant number, since it is smaller than the sum of its proper divisors (27558563568).

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

12817935840 is a wasteful number, since it uses less digits than its factorization.

12817935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26704051 (or 26704043 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 12817935840 in words is "twelve billion, eight hundred seventeen million, nine hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26704033 53408066 80112099 106816132 133520165 160224198 213632264 267040330 320448396 400560495 427264528 534080660 640896792 801120990 854529056 1068161320 1281793584 1602241980 2136322640 2563587168 3204483960 4272645280 6408967920 12817935840