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8082665696 = 25779661691
BaseRepresentation
bin1111000011100001…
…11011000011100000
3202212021221221220202
413201300323003200
5113023130300241
63414011324332
7404203345010
oct74160730340
922767857822
108082665696
1134784aa406
121696a506a8
139ba6c7931
14569665c40
153248c8d9b
hex1e1c3b0e0

8082665696 has 96 divisors (see below), whose sum is σ = 18470753280. Its totient is φ = 3410035200.

The previous prime is 8082665687. The next prime is 8082665707. The reversal of 8082665696 is 6965662808.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11696711 + ... + 11697401.

It is an arithmetic number, because the mean of its divisors is an integer number (192403680).

Almost surely, 28082665696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082665696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235376640).

8082665696 is an abundant number, since it is smaller than the sum of its proper divisors (10388087584).

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

8082665696 is a wasteful number, since it uses less digits than its factorization.

8082665696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The square root of 8082665696 is about 89903.6467336003. The cubic root of 8082665696 is about 2006.8652154446.

The spelling of 8082665696 in words is "eight billion, eighty-two million, six hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 661 691 1106 1264 1322 1382 2212 2528 2644 2764 4424 4627 4837 5288 5528 8848 9254 9674 10576 11056 17696 18508 19348 21152 22112 37016 38696 52219 54589 74032 77392 104438 109178 148064 154784 208876 218356 365533 382123 417752 436712 456751 731066 764246 835504 873424 913502 1462132 1528492 1671008 1746848 1827004 2924264 3056984 3197257 3654008 5848528 6113968 6394514 7308016 11697056 12227936 12789028 14616032 25578056 36083329 51156112 72166658 102312224 144333316 252583303 288666632 505166606 577333264 1010333212 1154666528 2020666424 4041332848 8082665696