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7930216872 = 233422953441
BaseRepresentation
bin1110110001010110…
…11000000110101000
3202110200002202110000
413120223120012220
5112220113414442
63350524023000
7400342505544
oct73053300650
922420082400
107930216872
1133aa445346
121653991a60
13994c4c226
14553300a24
15316313d4c
hex1d8ad81a8

7930216872 has 80 divisors (see below), whose sum is σ = 22309362900. Its totient is φ = 2631813120.

The previous prime is 7930216817. The next prime is 7930216873. The reversal of 7930216872 is 2786120397.

It can be written as a sum of positive squares in 2 ways, for example, as 7044916356 + 885300516 = 83934^2 + 29754^2 .

It is not an unprimeable number, because it can be changed into a prime (7930216873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121672 + ... + 175112.

Almost surely, 27930216872 is an apocalyptic number.

7930216872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7930216872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154681450).

7930216872 is an abundant number, since it is smaller than the sum of its proper divisors (14379146028).

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

7930216872 is a wasteful number, since it uses less digits than its factorization.

7930216872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53688 (or 53675 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7930216872 is about 89051.7651256841. The cubic root of 7930216872 is about 1994.1677482854.

The spelling of 7930216872 in words is "seven billion, nine hundred thirty million, two hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 324 458 648 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 18549 24732 37098 49464 53441 74196 106882 148392 160323 213764 320646 427528 480969 641292 961938 1282584 1442907 1923876 2885814 3847752 4328721 5771628 8657442 11543256 12237989 17314884 24475978 34629768 36713967 48951956 73427934 97903912 110141901 146855868 220283802 293711736 330425703 440567604 660851406 881135208 991277109 1321702812 1982554218 2643405624 3965108436 7930216872