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12266252640 = 253258518231
BaseRepresentation
bin10110110110010000…
…00010100101100000
31011122212010012022100
423123020002211200
5200110130041030
65345100210400
7612653266335
oct133310024540
934585105270
1012266252640
115224a86184
122463b39a00
131206377a75
1484512898c
154bbd15360
hex2db202960

12266252640 has 72 divisors (see below), whose sum is σ = 41858592048. Its totient is φ = 3271000320.

The previous prime is 12266252549. The next prime is 12266252671. The reversal of 12266252640 is 4625266221.

12266252640 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 6 + 2 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 12266252595 and 12266252604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4257676 + ... + 4260555.

It is an arithmetic number, because the mean of its divisors is an integer number (581369334).

Almost surely, 212266252640 is an apocalyptic number.

12266252640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12266252640 is an abundant number, since it is smaller than the sum of its proper divisors (29592339408).

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

12266252640 is a wasteful number, since it uses less digits than its factorization.

12266252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518252 (or 8518241 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12266252640 in words is "twelve billion, two hundred sixty-six million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8518231 17036462 25554693 34072924 42591155 51109386 68145848 76664079 85182310 102218772 127773465 136291696 153328158 170364620 204437544 255546930 272583392 306656316 340729240 383320395 408875088 511093860 613312632 681458480 766640790 817750176 1022187720 1226625264 1362916960 1533281580 2044375440 2453250528 3066563160 4088750880 6133126320 12266252640