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8026040682 = 237111071559
BaseRepresentation
bin1110111100110001…
…11010100101101010
3202201100102010000000
413132120322211222
5112414131300212
63404225523430
7402615135342
oct73630724552
922640363000
108026040682
113449544180
12167baa3576
139aba5cbca
14561d25d22
1531e9411dc
hex1de63a96a

8026040682 has 128 divisors (see below), whose sum is σ = 19894118400. Its totient is φ = 2407857840.

The previous prime is 8026040641. The next prime is 8026040683. The reversal of 8026040682 is 2860406208.

It is not an unprimeable number, because it can be changed into a prime (8026040683) 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 63 ways as a sum of consecutive naturals, for example, 5147419 + ... + 5148977.

It is an arithmetic number, because the mean of its divisors is an integer number (155422800).

Almost surely, 28026040682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8026040682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947059200).

8026040682 is an abundant number, since it is smaller than the sum of its proper divisors (11868077718).

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

8026040682 is a wasteful number, since it uses less digits than its factorization.

8026040682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8026040682 is about 89588.1726680481. The cubic root of 8026040682 is about 2002.1677065088.

The spelling of 8026040682 in words is "eight billion, twenty-six million, forty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 243 297 321 486 594 642 729 891 963 1177 1458 1559 1782 1926 2187 2354 2673 2889 3118 3531 4374 4677 5346 5778 7062 8019 8667 9354 10593 14031 16038 17149 17334 21186 24057 26001 28062 31779 34298 42093 48114 51447 52002 63558 78003 84186 95337 102894 126279 154341 156006 166813 190674 234009 252558 286011 308682 333626 378837 463023 468018 500439 572022 757674 858033 926046 1000878 1136511 1389069 1501317 1716066 1834943 2273022 2574099 2778138 3002634 3409533 3669886 4167207 4503951 5148198 5504829 6819066 8334414 9007902 11009658 12501621 13511853 16514487 25003242 27023706 33028974 37504863 40535559 49543461 75009726 81071118 99086922 121606677 148630383 243213354 297260766 364820031 445891149 729640062 891782298 1337673447 2675346894 4013020341 8026040682