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7730813214 = 23219293072539
BaseRepresentation
bin1110011001100101…
…01101100100011110
3201221202220000001100
413030302231210132
5111313042010324
63315042053530
7362401554015
oct71462554436
921852800040
107730813214
11330792a433
1215b904a2a6
139628434b7
14534a35a7c
15303a764c9
hex1cccad91e

7730813214 has 96 divisors (see below), whose sum is σ = 18306288000. Its totient is φ = 2348523072.

The previous prime is 7730813213. The next prime is 7730813227. The reversal of 7730813214 is 4123180377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7730813213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3043557 + ... + 3046095.

It is an arithmetic number, because the mean of its divisors is an integer number (190690500).

Almost surely, 27730813214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7730813214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153144000).

7730813214 is an abundant number, since it is smaller than the sum of its proper divisors (10575474786).

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

7730813214 is a wasteful number, since it uses less digits than its factorization.

7730813214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7730813214 is about 87925.0431560884. The cubic root of 7730813214 is about 1977.3113537951.

The spelling of 7730813214 in words is "seven billion, seven hundred thirty million, eight hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 307 342 522 551 614 921 1102 1653 1842 2539 2763 3306 4959 5078 5526 5833 7617 8903 9918 11666 15234 17499 17806 22851 26709 34998 45702 48241 52497 53418 73631 80127 96482 104994 144723 147262 160254 169157 220893 289446 338314 434169 441786 507471 662679 779473 868338 1014942 1325358 1398989 1522413 1558946 2338419 2797978 3044826 4196967 4676838 7015257 8393934 12590901 14030514 14809987 22604717 25181802 29619974 44429961 45209434 67814151 88859922 133289883 135628302 203442453 266579766 406884906 429489623 858979246 1288468869 2576937738 3865406607 7730813214