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2412408964 = 2272293113691
BaseRepresentation
bin1000111111001010…
…0111000010000100
320020010101001222011
42033302213002010
514420034041324
61035214144004
7113532065200
oct21762470204
96203331864
102412408964
111028818619
12573ab2004
132c5a41b34
1418c56db00
15e1bc7c94
hex8fca7084

2412408964 has 72 divisors (see below), whose sum is σ = 5244583680. Its totient is φ = 965966400.

The previous prime is 2412408959. The next prime is 2412409033. The reversal of 2412408964 is 4698042142.

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, 169359 + ... + 183049.

It is an arithmetic number, because the mean of its divisors is an integer number (72841440).

Almost surely, 22412408964 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 2412408964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622291840).

2412408964 is an abundant number, since it is smaller than the sum of its proper divisors (2832174716).

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

2412408964 is a wasteful number, since it uses less digits than its factorization.

2412408964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2412408964 is about 49116.2800301489. The cubic root of 2412408964 is about 1341.1694261564.

The spelling of 2412408964 in words is "two billion, four hundred twelve million, four hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 31 49 58 62 98 116 124 196 203 217 406 434 812 868 899 1421 1519 1798 2842 3038 3596 5684 6076 6293 12586 13691 25172 27382 44051 54764 88102 95837 176204 191674 383348 397039 424421 670859 794078 848842 1341718 1588156 1697684 2683436 2779273 2970947 5558546 5941894 11117092 11883788 12308209 19454911 20796629 24616418 38909822 41593258 49232836 77819644 83186516 86157463 172314926 344629852 603102241 1206204482 2412408964