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8085978846 = 23311197110091
BaseRepresentation
bin1111000011111011…
…00011111011011110
3202212112012021201000
413201331203323132
5113030002310341
63414210331130
7404243454231
oct74175437336
922775167630
108085978846
11347a362650
121697b89aa6
139bb2b798a
14569c89418
15324d308b6
hex1e1f63ede

8085978846 has 128 divisors (see below), whose sum is σ = 20926771200. Its totient is φ = 2288412000.

The previous prime is 8085978839. The next prime is 8085978881. The reversal of 8085978846 is 6488795808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796261 + ... + 806351.

It is an arithmetic number, because the mean of its divisors is an integer number (163490400).

Almost surely, 28085978846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8085978846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10463385600).

8085978846 is an abundant number, since it is smaller than the sum of its proper divisors (12840792354).

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

8085978846 is a wasteful number, since it uses less digits than its factorization.

8085978846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10203 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 8085978846 is about 89922.0709614720. The cubic root of 8085978846 is about 2007.1393880772.

The spelling of 8085978846 in words is "eight billion, eighty-five million, nine hundred seventy-eight thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 71 99 114 142 171 198 209 213 297 342 418 426 513 594 627 639 781 1026 1254 1278 1349 1562 1881 1917 2343 2698 3762 3834 4047 4686 5643 7029 8094 10091 11286 12141 14058 14839 20182 21087 24282 29678 30273 36423 42174 44517 60546 72846 89034 90819 111001 133551 181638 191729 222002 267102 272457 333003 383458 400653 544914 575187 666006 716461 801306 999009 1150374 1432922 1725561 1998018 2109019 2149383 2997027 3451122 4218038 4298766 5176683 5994054 6327057 6448149 7881071 10353366 12654114 12896298 13612759 15762142 18981171 19344447 23643213 27225518 37962342 38688894 40838277 47286426 56943513 70929639 81676554 113887026 122514831 141859278 149740349 212788917 245029662 299480698 367544493 425577834 449221047 735088986 898442094 1347663141 2695326282 4042989423 8085978846