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12967242240 = 29351688443
BaseRepresentation
bin11000001001110100…
…00110101000000000
31020110201011011021010
430010322012220000
5203024103222430
65542421000520
7636224511651
oct140472065000
936421134233
1012967242240
115554741027
12261a853140
1312b8672704
148b027d528
1550d630cb0
hex304e86a00

12967242240 has 80 divisors (see below), whose sum is σ = 41454677088. Its totient is φ = 3457929216.

The previous prime is 12967242221. The next prime is 12967242251. The reversal of 12967242240 is 4224276921.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836542 + ... + 851901.

Almost surely, 212967242240 is an apocalyptic number.

12967242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12967242240 is an abundant number, since it is smaller than the sum of its proper divisors (28487434848).

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

12967242240 is an equidigital number, since it uses as much as digits as its factorization.

12967242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688469 (or 1688453 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12967242240 in words is "twelve billion, nine hundred sixty-seven million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1688443 3376886 5065329 6753772 8442215 10130658 13507544 16884430 20261316 25326645 27015088 33768860 40522632 50653290 54030176 67537720 81045264 101306580 108060352 135075440 162090528 202613160 216120704 270150880 324181056 405226320 432241408 540301760 648362112 810452640 864482816 1080603520 1296724224 1620905280 2161207040 2593448448 3241810560 4322414080 6483621120 12967242240