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8206910008 = 23111989131421
BaseRepresentation
bin1111010010010101…
…11000001000111000
3210011221202020001221
413221022320020320
5113301432110013
63434210321424
7410242404223
oct75112701070
923157666057
108206910008
11353164aa60
121710589274
13a0a37968b
1457bd685ba
1533076c08d
hex1e92b8238

8206910008 has 128 divisors (see below), whose sum is σ = 18048096000. Its totient is φ = 3459456000.

The previous prime is 8206909999. The next prime is 8206910009. The reversal of 8206910008 is 8000196028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8206910009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19493638 + ... + 19494058.

It is an arithmetic number, because the mean of its divisors is an integer number (141000750).

Almost surely, 28206910008 is an apocalyptic number.

8206910008 is a gapful number since it is divisible by the number (88) 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 8206910008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024048000).

8206910008 is an abundant number, since it is smaller than the sum of its proper divisors (9841185992).

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

8206910008 is a wasteful number, since it uses less digits than its factorization.

8206910008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 8206910008 is about 90591.9974832214. The cubic root of 8206910008 is about 2017.0959485501.

The spelling of 8206910008 in words is "eight billion, two hundred six million, nine hundred ten thousand, eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 89 131 152 178 209 262 356 418 421 524 712 836 842 979 1048 1441 1672 1684 1691 1958 2489 2882 3368 3382 3916 4631 4978 5764 6764 7832 7999 9262 9956 11528 11659 13528 15998 18524 18601 19912 23318 27379 31996 37048 37202 37469 46636 54758 55151 63992 74404 74938 87989 93272 109516 110302 128249 148808 149876 175978 219032 220604 221521 256498 299752 351956 412159 441208 443042 512996 606661 703912 711911 824318 886084 1025992 1047869 1213322 1423822 1648636 1772168 2095738 2426644 2436731 2847644 3297272 4191476 4853288 4873462 4908439 5695288 7831021 8382952 9746924 9816878 11526559 15662042 19493848 19633756 23053118 31324084 39267512 46106236 53992829 62648168 92212472 93260341 107985658 186520682 215971316 373041364 431942632 746082728 1025863751 2051727502 4103455004 8206910008