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6328520704 = 2121121132
BaseRepresentation
bin1011110010011010…
…11001000000000000
3121100001020011100201
411321031121000000
5100430100130304
62523550054544
7312553352452
oct57115310000
917301204321
106328520704
112758315300
1212874aa454
1379b17140c
144406c82d2
152708cc3a4
hex179359000

6328520704 has 117 divisors (see below), whose sum is σ = 14034778849. Its totient is φ = 2851143680.

The previous prime is 6328520677. The next prime is 6328520729. The reversal of 6328520704 is 4070258236.

The square root of 6328520704 is 79552.

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

It can be written as a sum of positive squares in only one way, i.e., 111513600 + 6217007104 = 10560^2 + 78848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56004552 + ... + 56004664.

Almost surely, 26328520704 is an apocalyptic number.

6328520704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6328520704 is the 79552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328520704

6328520704 is an abundant number, since it is smaller than the sum of its proper divisors (7706258145).

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

6328520704 is an equidigital number, since it uses as much as digits as its factorization.

6328520704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The cubic root of 6328520704 is about 1849.6976086226.

The spelling of 6328520704 in words is "six billion, three hundred twenty-eight million, five hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 128 176 226 242 256 352 452 484 512 704 904 968 1024 1243 1408 1808 1936 2048 2486 2816 3616 3872 4096 4972 5632 7232 7744 9944 11264 12769 13673 14464 15488 19888 22528 25538 27346 28928 30976 39776 45056 51076 54692 57856 61952 79552 102152 109384 115712 123904 140459 159104 204304 218768 231424 247808 280918 318208 408608 437536 462848 495616 561836 636416 817216 875072 1123672 1272832 1545049 1634432 1750144 2247344 2545664 3090098 3268864 3500288 4494688 5091328 6180196 6537728 7000576 8989376 12360392 13075456 14001152 17978752 24720784 26150912 28002304 35957504 49441568 52301824 56004608 71915008 98883136 143830016 197766272 287660032 395532544 575320064 791065088 1582130176 3164260352 6328520704