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8083626345 = 3252319973911
BaseRepresentation
bin1111000011101001…
…00101100101101001
3202212100202202200100
413201310211211221
5113023402020340
63414044100013
7404214455514
oct74164454551
922770682610
108083626345
113478aa6133
121697234609
139ba972c72
14569835d7b
15324a18830
hex1e1d25969

8083626345 has 48 divisors (see below), whose sum is σ = 14631881472. Its totient is φ = 4120702080.

The previous prime is 8083626307. The next prime is 8083626349. The reversal of 8083626345 is 5436263808.

It is a happy number.

8083626345 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 6 + 2 + 634 + 5 = 666.

It is not a de Polignac number, because 8083626345 - 215 = 8083593577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8083626345.

It is not an unprimeable number, because it can be changed into a prime (8083626349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2064940 + ... + 2068850.

It is an arithmetic number, because the mean of its divisors is an integer number (304830864).

Almost surely, 28083626345 is an apocalyptic number.

It is an amenable number.

8083626345 is a deficient number, since it is larger than the sum of its proper divisors (6548255127).

8083626345 is a wasteful number, since it uses less digits than its factorization.

8083626345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8083626345 is about 89908.9892335577. The cubic root of 8083626345 is about 2006.9447196066.

The spelling of 8083626345 in words is "eight billion, eighty-three million, six hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 1997 3911 5991 9985 11733 17973 19555 29955 35199 45931 58665 89865 89953 137793 175995 229655 269859 413379 449765 688965 809577 1349295 2066895 4047885 7810267 23430801 39051335 70292403 117154005 179636141 351462015 538908423 898180705 1616725269 2694542115 8083626345