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1268917834632 = 233752971425917
BaseRepresentation
bin10010011101110001011…
…001011001001110001000
311111022022001202212001020
4102131301121121032020
5131242220431202012
62410533252552440
7160450652426430
oct22356131311610
94438261685036
101268917834632
1144a166045318
12185b12022720
1392873787306
14455b75252c0
152301a2d9a8c
hex12771659388

1268917834632 has 64 divisors (see below), whose sum is σ = 3626166510720. Its totient is φ = 362479254528.

The previous prime is 1268917834603. The next prime is 1268917834633. The reversal of 1268917834632 is 2364387198621.

It is a super-2 number, since 2×12689178346322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268917834633) 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 15 ways as a sum of consecutive naturals, for example, 176938 + ... + 1602854.

It is an arithmetic number, because the mean of its divisors is an integer number (56658851730).

Almost surely, 21268917834632 is an apocalyptic number.

1268917834632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1268917834632 is an abundant number, since it is smaller than the sum of its proper divisors (2357248676088).

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

1268917834632 is a wasteful number, since it uses less digits than its factorization.

1268917834632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431230 (or 1431226 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 1268917834632 in words is "one trillion, two hundred sixty-eight billion, nine hundred seventeen million, eight hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5297 10594 15891 21188 31782 37079 42376 63564 74158 111237 127128 148316 222474 296632 444948 889896 1425917 2851834 4277751 5703668 8555502 9981419 11407336 17111004 19962838 29944257 34222008 39925676 59888514 79851352 119777028 239554056 7553082349 15106164698 22659247047 30212329396 45318494094 52871576443 60424658792 90636988188 105743152886 158614729329 181273976376 211486305772 317229458658 422972611544 634458917316 1268917834632