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2968319466 = 233724413217
BaseRepresentation
bin1011000011101100…
…1111010111101010
321122212102020211000
42300323033113222
522034342210331
61210313215430
7133362204420
oct26073172752
97585366730
102968319466
1112935a2392
126aa101576
13383c71668
1420231b110
151258d70e6
hexb0ecf5ea

2968319466 has 64 divisors (see below), whose sum is σ = 7544021760. Its totient is φ = 847480320.

The previous prime is 2968319423. The next prime is 2968319483. The reversal of 2968319466 is 6649138692.

2968319466 is a `hidden beast` number, since 2 + 96 + 83 + 19 + 466 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921090 + ... + 924306.

It is an arithmetic number, because the mean of its divisors is an integer number (117875340).

Almost surely, 22968319466 is an apocalyptic number.

2968319466 is an abundant number, since it is smaller than the sum of its proper divisors (4575702294).

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

2968319466 is a wasteful number, since it uses less digits than its factorization.

2968319466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5670 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2968319466 is about 54482.2858000653. The cubic root of 2968319466 is about 1437.1547900081.

The spelling of 2968319466 in words is "two billion, nine hundred sixty-eight million, three hundred nineteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2441 3217 4882 6434 7323 9651 14646 17087 19302 21969 22519 28953 34174 43938 45038 51261 57906 65907 67557 86859 102522 131814 135114 153783 173718 202671 307566 405342 461349 608013 922698 1216026 7852697 15705394 23558091 47116182 54968879 70674273 109937758 141348546 164906637 212022819 329813274 424045638 494719911 989439822 1484159733 2968319466