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616116345 = 35137144501
BaseRepresentation
bin100100101110010…
…011000001111001
31120221022221201220
4210232103001321
52230211210340
6141045302253
721160621365
oct4456230171
91527287656
10616116345
11296866369
12152404989
139a84c3b0
145bb802a5
1539152ed0
hex24b93079

616116345 has 32 divisors (see below), whose sum is σ = 1076592384. Its totient is φ = 299040000.

The previous prime is 616116317. The next prime is 616116349. The reversal of 616116345 is 543611616.

616116345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 616116345 - 210 = 616115321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (616116349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8406 + ... + 36095.

It is an arithmetic number, because the mean of its divisors is an integer number (33643512).

Almost surely, 2616116345 is an apocalyptic number.

616116345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

616116345 is a deficient number, since it is larger than the sum of its proper divisors (460476039).

616116345 is a wasteful number, since it uses less digits than its factorization.

616116345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44593.

The product of its digits is 12960, while the sum is 33.

The square root of 616116345 is about 24821.6910181398. The cubic root of 616116345 is about 850.9177377202.

The spelling of 616116345 in words is "six hundred sixteen million, one hundred sixteen thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 71 195 213 355 923 1065 2769 4615 13845 44501 133503 222505 578513 667515 1735539 2892565 3159571 8677695 9478713 15797855 41074423 47393565 123223269 205372115 616116345