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8006091345 = 325725416163
BaseRepresentation
bin1110111010011001…
…10100001001010001
3202122221212120122200
413131030310021101
5112344024410340
63402234153413
7402253440120
oct73514641121
922587776580
108006091345
113439258a1a
121675282869
139a7896875
1455d411ab7
1531cd00330
hex1dd334251

8006091345 has 24 divisors (see below), whose sum is σ = 15859686336. Its totient is φ = 3659927328.

The previous prime is 8006091337. The next prime is 8006091377. The reversal of 8006091345 is 5431906008.

8006091345 is a `hidden beast` number, since 8 + 0 + 0 + 609 + 1 + 3 + 45 = 666.

It is not a de Polignac number, because 8006091345 - 23 = 8006091337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12707767 + ... + 12708396.

It is an arithmetic number, because the mean of its divisors is an integer number (660820264).

Almost surely, 28006091345 is an apocalyptic number.

It is an amenable number.

8006091345 is a deficient number, since it is larger than the sum of its proper divisors (7853594991).

8006091345 is a wasteful number, since it uses less digits than its factorization.

8006091345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25416181 (or 25416178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8006091345 is about 89476.7642743076. The cubic root of 8006091345 is about 2000.5074833028.

It can be divided in two parts, 80060 and 91345, that added together give a triangular number (171405 = T585).

The spelling of 8006091345 in words is "eight billion, six million, ninety-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 25416163 76248489 127080815 177913141 228745467 381242445 533739423 889565705 1143727335 1601218269 2668697115 8006091345