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5017324968 = 2332432935531
BaseRepresentation
bin1001010110000111…
…00100110110101000
3110221122222111221200
410223003210312220
540233413344333
62145510404200
7235222362405
oct45303446650
913848874850
105017324968
112145170567
12b80360660
1361c616556
143584d12ac
151e5729c13
hex12b0e4da8

5017324968 has 96 divisors (see below), whose sum is σ = 13954580640. Its totient is φ = 1627678080.

The previous prime is 5017324913. The next prime is 5017324973. The reversal of 5017324968 is 8694237105.

5017324968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5017324968 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904363 + ... + 909893.

It is an arithmetic number, because the mean of its divisors is an integer number (145360215).

It is a 1-persistent number, because it is pandigital, but 2⋅5017324968 = 10034649936 is not.

Almost surely, 25017324968 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 5017324968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977290320).

5017324968 is an abundant number, since it is smaller than the sum of its proper divisors (8937255672).

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

5017324968 is a wasteful number, since it uses less digits than its factorization.

5017324968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5017324968 is about 70833.0782050307. The cubic root of 5017324968 is about 1711.9486884860.

The spelling of 5017324968 in words is "five billion, seventeen million, three hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 293 344 387 516 586 774 879 1032 1172 1548 1758 2344 2637 3096 3516 5274 5531 7032 10548 11062 12599 16593 21096 22124 25198 33186 37797 44248 49779 50396 66372 75594 99558 100792 113391 132744 151188 199116 226782 237833 302376 398232 453564 475666 713499 907128 951332 1426998 1620583 1902664 2140497 2853996 3241166 4280994 4861749 5707992 6482332 8561988 9723498 12964664 14585247 17123976 19446996 29170494 38893992 58340988 69685069 116681976 139370138 209055207 278740276 418110414 557480552 627165621 836220828 1254331242 1672441656 2508662484 5017324968