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5129963712 = 263317232
BaseRepresentation
bin1001100011100010…
…10000100011000000
3111020111221011021000
410301301100203000
541001232314322
62205012532000
7241060654266
oct46161204300
914214834230
105129963712
1121a2804735
12bb2021000
13639a639b3
14369452436
152005793ac
hex131c508c0

5129963712 has 84 divisors (see below), whose sum is σ = 15089901240. Its totient is φ = 1708995456.

The previous prime is 5129963701. The next prime is 5129963737. The reversal of 5129963712 is 2173699215.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5129963712 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 9 + 637 + 1 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 2976483 + ... + 2978205.

Almost surely, 25129963712 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 5129963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544950620).

5129963712 is an abundant number, since it is smaller than the sum of its proper divisors (9959937528).

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

5129963712 is an frugal number, since it uses more digits than its factorization.

5129963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 1728 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 5129963712 is about 71623.7649945882. The cubic root of 5129963712 is about 1724.6650570856.

The spelling of 5129963712 in words is "five billion, one hundred twenty-nine million, nine hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1723 1728 3446 5169 6892 10338 13784 15507 20676 27568 31014 41352 46521 55136 62028 82704 93042 110272 124056 165408 186084 248112 330816 372168 496224 744336 992448 1488672 2968729 2977344 5937458 8906187 11874916 17812374 23749832 26718561 35624748 47499664 53437122 71249496 80155683 94999328 106874244 142498992 160311366 189998656 213748488 284997984 320622732 427496976 569995968 641245464 854993952 1282490928 1709987904 2564981856 5129963712