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12792627408 = 24311132118341
BaseRepresentation
bin10111110101000000…
…00000000011010000
31020000112120210202010
423322200000003100
5202144403034113
65513222222520
7632004352551
oct137240000320
936015523663
1012792627408
115475117350
122590284a40
13128b435a22
14894dc8328
154ed13d1c3
hex2fa8000d0

12792627408 has 80 divisors (see below), whose sum is σ = 36081208512. Its totient is φ = 3873408000.

The previous prime is 12792627389. The next prime is 12792627413. The reversal of 12792627408 is 80472629721.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 688318 + ... + 706658.

Almost surely, 212792627408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12792627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18040604256).

12792627408 is an abundant number, since it is smaller than the sum of its proper divisors (23288581104).

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

12792627408 is a wasteful number, since it uses less digits than its factorization.

12792627408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19684 (or 19678 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 12792627408 in words is "twelve billion, seven hundred ninety-two million, six hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1321 2642 3963 5284 7926 10568 14531 15852 18341 21136 29062 31704 36682 43593 55023 58124 63408 73364 87186 110046 116248 146728 174372 201751 220092 232496 293456 348744 403502 440184 605253 697488 807004 880368 1210506 1614008 2421012 3228016 4842024 9684048 24228461 48456922 72685383 96913844 145370766 193827688 266513071 290741532 387655376 533026142 581483064 799539213 1066052284 1162966128 1599078426 2132104568 3198156852 4264209136 6396313704 12792627408