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5003590968 = 233416094799
BaseRepresentation
bin1001010100011110…
…01011110100111000
3110220201010202110000
410222033023310320
540221404402333
62144300153000
7234664551525
oct45217136470
913821122400
105003590968
11213843aa52
12b77838760
1361981821c
1435675814c
151e4415713
hex12a3cbd38

5003590968 has 80 divisors (see below), whose sum is σ = 14026320000. Its totient is φ = 1666479744.

The previous prime is 5003590957. The next prime is 5003591017. The reversal of 5003590968 is 8690953005.

5003590968 is a `hidden beast` number, since 50 + 0 + 3 + 590 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1040233 + ... + 1045031.

It is an arithmetic number, because the mean of its divisors is an integer number (175329000).

Almost surely, 25003590968 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 5003590968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013160000).

5003590968 is an abundant number, since it is smaller than the sum of its proper divisors (9022729032).

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

5003590968 is a wasteful number, since it uses less digits than its factorization.

5003590968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5003590968 is about 70736.0655394403. The cubic root of 5003590968 is about 1710.3852133085.

The spelling of 5003590968 in words is "five billion, three million, five hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1609 3218 4799 4827 6436 9598 9654 12872 14397 14481 19196 19308 28794 28962 38392 38616 43191 43443 57588 57924 86382 86886 115176 115848 129573 130329 172764 173772 259146 260658 345528 347544 388719 518292 521316 777438 1036584 1042632 1554876 3109752 7721591 15443182 23164773 30886364 46329546 61772728 69494319 92659092 138988638 185318184 208482957 277977276 416965914 555954552 625448871 833931828 1250897742 1667863656 2501795484 5003590968