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5109435945 = 325614574073
BaseRepresentation
bin1001100001000101…
…11100111000101001
3111012002022020110100
410300202330320221
540431003422240
62203000540013
7240421326465
oct46042747051
914162266410
105109435945
112192163939
12ba7181609
136357272a3
1436682b4a5
151ed871e30
hex1308bce29

5109435945 has 48 divisors (see below), whose sum is σ = 9023453712. Its totient is φ = 2673838080.

The previous prime is 5109435943. The next prime is 5109435959. The reversal of 5109435945 is 5495349015.

5109435945 is a `hidden beast` number, since 5 + 10 + 9 + 43 + 594 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 753831936 + 4355604009 = 27456^2 + 65997^2 .

It is not a de Polignac number, because 5109435945 - 21 = 5109435943 is a prime.

It is a super-2 number, since 2×51094359452 = 52212671352116086050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 5109435945.

It is not an unprimeable number, because it can be changed into a prime (5109435943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252429 + ... + 1256501.

It is an arithmetic number, because the mean of its divisors is an integer number (187988619).

Almost surely, 25109435945 is an apocalyptic number.

It is an amenable number.

5109435945 is a deficient number, since it is larger than the sum of its proper divisors (3914017767).

5109435945 is a wasteful number, since it uses less digits than its factorization.

5109435945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5109435945 is about 71480.3185849084. The cubic root of 5109435945 is about 1722.3615417267.

The spelling of 5109435945 in words is "five billion, one hundred nine million, four hundred thirty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 61 183 305 457 549 915 1371 2285 2745 4073 4113 6855 12219 20365 20565 27877 36657 61095 83631 139385 183285 248453 250893 418155 745359 1242265 1254465 1861361 2236077 3726795 5584083 9306805 11180385 16752249 27920415 83761245 113543021 340629063 567715105 1021887189 1703145315 5109435945