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2604381668 = 22793013631
BaseRepresentation
bin1001101100111011…
…1011010111100100
320201111121022000022
42123032323113210
520313210203133
61110232534312
7121352610320
oct23316732744
96644538008
102604381668
111117118549
12608251398
13326748455
141a9c62980
15103998998
hex9b3bb5e4

2604381668 has 12 divisors (see below), whose sum is σ = 5208763392. Its totient is φ = 1116163560.

The previous prime is 2604381667. The next prime is 2604381707. The reversal of 2604381668 is 8661834062.

2604381668 is an admirable number.

It is a super-2 number, since 2×26043816682 = 13565607745228924448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2604381667) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 46506788 + ... + 46506843.

It is an arithmetic number, because the mean of its divisors is an integer number (434063616).

Almost surely, 22604381668 is an apocalyptic number.

2604381668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2604381668 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2604381668 is a wasteful number, since it uses less digits than its factorization.

2604381668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93013642 (or 93013640 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 2604381668 is about 51033.1428387474. The cubic root of 2604381668 is about 1375.8408816648.

The spelling of 2604381668 in words is "two billion, six hundred four million, three hundred eighty-one thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 93013631 186027262 372054524 651095417 1302190834 2604381668