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6400320004 = 221321721812
BaseRepresentation
bin1011111010111110…
…10010001000000100
3121112001022221111001
411331133102020010
5101101440220004
62535033023044
7314414552041
oct57537221004
917461287431
106400320004
1127948a5171
1212a7554a84
137accbcc00
1444a0581c8
15276d611a4
hex17d7d2204

6400320004 has 81 divisors (see below), whose sum is σ = 12955394781. Its totient is φ = 2764869120.

The previous prime is 6400320001. The next prime is 6400320029. The reversal of 6400320004 is 4000230046.

The square root of 6400320004 is 80002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6399680004 + 640000 = 79998^2 + 800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6400320001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35360794 + ... + 35360974.

Almost surely, 26400320004 is an apocalyptic number.

6400320004 is the 80002-nd square number.

It is an amenable number.

6400320004 is an abundant number, since it is smaller than the sum of its proper divisors (6555074777).

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

6400320004 is a wasteful number, since it uses less digits than its factorization.

6400320004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 6400320004 is about 1856.6664772417. Note that the first 3 decimals are identical.

Multiplying 6400320004 by its product of nonzero digits (576), we get a square (3686584322304 = 19200482).

The spelling of 6400320004 in words is "six billion, four hundred million, three hundred twenty thousand, four".

Divisors: 1 2 4 13 17 26 34 52 68 169 181 221 289 338 362 442 578 676 724 884 1156 2353 2873 3077 3757 4706 5746 6154 7514 9412 11492 12308 15028 30589 32761 40001 48841 52309 61178 65522 80002 97682 104618 122356 131044 160004 195364 209236 425893 520013 556937 680017 851786 1040026 1113874 1360034 1703572 2080052 2227748 2720068 5536609 7240181 8840221 9467929 11073218 14480362 17680442 18935858 22146436 28960724 35360884 37871716 94122353 123083077 188244706 246166154 376489412 492332308 1600080001 3200160002 6400320004