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8091148936 = 2313194199871
BaseRepresentation
bin1111000100100010…
…10010001010001000
3202212212220221201211
413202101102022020
5113032313231221
63414513222504
7404335426333
oct74221221210
922785827654
108091148936
113482273a52
121699861a34
139bc3a7cc0
1456a83361a
153255026e1
hex1e2452288

8091148936 has 64 divisors (see below), whose sum is σ = 17617420800. Its totient is φ = 3451507200.

The previous prime is 8091148927. The next prime is 8091148981. The reversal of 8091148936 is 6398411908.

It is a super-3 number, since 3×80911489363 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8091148936.

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, 31081 + ... + 130951.

It is an arithmetic number, because the mean of its divisors is an integer number (275272200).

Almost surely, 28091148936 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 8091148936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808710400).

8091148936 is an abundant number, since it is smaller than the sum of its proper divisors (9526271864).

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

8091148936 is a wasteful number, since it uses less digits than its factorization.

8091148936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99950 (or 99946 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 8091148936 is about 89950.8139818646. The cubic root of 8091148936 is about 2007.5670782223.

The spelling of 8091148936 in words is "eight billion, ninety-one million, one hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 19 26 38 41 52 76 82 104 152 164 247 328 494 533 779 988 1066 1558 1976 2132 3116 4264 6232 10127 20254 40508 81016 99871 199742 399484 798968 1298323 1897549 2596646 3795098 4094711 5193292 7590196 8189422 10386584 15180392 16378844 24668137 32757688 49336274 53231243 77799509 98672548 106462486 155599018 197345096 212924972 311198036 425849944 622396072 1011393617 2022787234 4045574468 8091148936