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12344237680 = 245198121209
BaseRepresentation
bin10110111111100011…
…00001111001110000
31011212021212020200011
423133301201321300
5200240111101210
65400523504304
7614621201065
oct133761417160
934767766604
1012344237680
115265000525
122486088094
131219580c68
14851628c6c
154c3abbd8a
hex2dfc61e70

12344237680 has 40 divisors (see below), whose sum is σ = 30210901200. Its totient is φ = 4677815808.

The previous prime is 12344237671. The next prime is 12344237687. The reversal of 12344237680 is 8673244321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344237687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4059085 + ... + 4062124.

It is an arithmetic number, because the mean of its divisors is an integer number (755272530).

Almost surely, 212344237680 is an apocalyptic number.

12344237680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344237680 is an abundant number, since it is smaller than the sum of its proper divisors (17866663520).

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

12344237680 is a wasteful number, since it uses less digits than its factorization.

12344237680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121241 (or 8121235 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 12344237680 in words is "twelve billion, three hundred forty-four million, two hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 8121209 16242418 32484836 40606045 64969672 81212090 129939344 154302971 162424180 308605942 324848360 617211884 649696720 771514855 1234423768 1543029710 2468847536 3086059420 6172118840 12344237680