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6716130304 = 2101321972
BaseRepresentation
bin1100100000101000…
…00000010000000000
3122100001120202202211
412100110000100000
5102223312132204
63030233551504
7325301110552
oct62024002000
918301522684
106716130304
112937098114
121375275594
13830565100
14479d854d2
15294944804
hex190500400

6716130304 has 99 divisors (see below), whose sum is σ = 14612061207. Its totient is φ = 3084017664.

The previous prime is 6716130301. The next prime is 6716130307. The reversal of 6716130304 is 4030316176.

The square root of 6716130304 is 81952.

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

It is an interprime number because it is at equal distance from previous prime (6716130301) and next prime (6716130307).

It can be written as a sum of positive squares in 4 ways, for example, as 418120704 + 6298009600 = 20448^2 + 79360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6716130301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34091934 + ... + 34092130.

Almost surely, 26716130304 is an apocalyptic number.

6716130304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6716130304 is the 81952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6716130304

6716130304 is an abundant number, since it is smaller than the sum of its proper divisors (7895930903).

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

6716130304 is an equidigital number, since it uses as much as digits as its factorization.

6716130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The cubic root of 6716130304 is about 1886.7152995298.

The spelling of 6716130304 in words is "six billion, seven hundred sixteen million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 197 208 256 338 394 416 512 676 788 832 1024 1352 1576 1664 2561 2704 3152 3328 5122 5408 6304 6656 10244 10816 12608 13312 20488 21632 25216 33293 38809 40976 43264 50432 66586 77618 81952 86528 100864 133172 155236 163904 173056 201728 266344 310472 327808 504517 532688 620944 655616 1009034 1065376 1241888 1311232 2018068 2130752 2483776 2622464 4036136 4261504 4967552 6558721 8072272 8523008 9935104 13117442 16144544 17046016 19870208 26234884 32289088 34092032 39740416 52469768 64578176 104939536 129156352 209879072 258312704 419758144 516625408 839516288 1679032576 3358065152 6716130304