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5010579504 = 2432714593407
BaseRepresentation
bin1001010101010011…
…10110000000110000
3110221012021210220200
410222221312000300
540230202021004
62145110035200
7235111136340
oct45251660060
913835253820
105010579504
1121413835a7
12b7a048b00
1361b0c4158
14357656d20
151e4d46239
hex12aa76030

5010579504 has 120 divisors (see below), whose sum is σ = 16041592320. Its totient is φ = 1430193024.

The previous prime is 5010579493. The next prime is 5010579517. The reversal of 5010579504 is 4059750105.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1468969 + ... + 1472375.

It is an arithmetic number, because the mean of its divisors is an integer number (133679936).

Almost surely, 25010579504 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 5010579504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020796160).

5010579504 is an abundant number, since it is smaller than the sum of its proper divisors (11031012816).

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

5010579504 is a wasteful number, since it uses less digits than its factorization.

5010579504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5010579504 is about 70785.4469788812. The cubic root of 5010579504 is about 1711.1811435415.

The spelling of 5010579504 in words is "five billion, ten million, five hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1459 2918 3407 4377 5836 6814 8754 10213 10221 11672 13131 13628 17508 20426 20442 23344 23849 26262 27256 30639 30663 35016 40852 40884 47698 52524 54512 61278 61326 70032 71547 81704 81768 91917 95396 105048 122556 122652 143094 163408 163536 183834 190792 210096 214641 245112 245304 286188 367668 381584 429282 490224 490608 572376 735336 858564 1144752 1470672 1717128 3434256 4970813 9941626 14912439 19883252 29824878 34795691 39766504 44737317 59649756 69591382 79533008 89474634 104387073 119299512 139182764 178949268 208774146 238599024 278365528 313161219 357898536 417548292 556731056 626322438 715797072 835096584 1252644876 1670193168 2505289752 5010579504