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790006325329 = 132683712
BaseRepresentation
bin10110111111100000000…
…10111110000001010001
32210112010220021110120201
423133300002332001101
5100420413104402304
61402531321135201
7111035043653164
oct13376002760121
92715126243521
10790006325329
11285048a80031
1210913762a501
1359660695300
142a344dabadb
151583ac833a4
hexb7f00be051

790006325329 has 9 divisors (see below), whose sum is σ = 855463148379. Its totient is φ = 729225942120.

The previous prime is 790006325249. The next prime is 790006325351. The reversal of 790006325329 is 923523600097.

The square root of 790006325329 is 888823.

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., 116864841025 + 673141484304 = 341855^2 + 820452^2 .

It is not a de Polignac number, because 790006325329 - 27 = 790006325201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (790006325929) 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 8 ways as a sum of consecutive naturals, for example, 11520514 + ... + 11588884.

It is an arithmetic number, because the mean of its divisors is an integer number (95051460931).

Almost surely, 2790006325329 is an apocalyptic number.

790006325329 is the 888823-rd square number.

790006325329 is the 444412-nd centered octagonal number.

It is an amenable number.

790006325329 is a deficient number, since it is larger than the sum of its proper divisors (65456823050).

790006325329 is an frugal number, since it uses more digits than its factorization.

790006325329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136768 (or 68384 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 790006325329 in words is "seven hundred ninety billion, six million, three hundred twenty-five thousand, three hundred twenty-nine".

Divisors: 1 13 169 68371 888823 11554699 4674593641 60769717333 790006325329