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3005165540 = 2251311558329
BaseRepresentation
bin1011001100011111…
…0010111111100100
321202102202020010102
42303013302333210
522123310244130
61214111043232
7134320325366
oct26307627744
97672666112
103005165540
111302379393
126ba510518
1338b7a2780
1420718cd36
15128c64645
hexb31f2fe4

3005165540 has 24 divisors (see below), whose sum is σ = 6796298040. Its totient is φ = 1109599488.

The previous prime is 3005165519. The next prime is 3005165551. The reversal of 3005165540 is 455615003.

It can be written as a sum of positive squares in 4 ways, for example, as 178329316 + 2826836224 = 13354^2 + 53168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5778905 + ... + 5779424.

It is an arithmetic number, because the mean of its divisors is an integer number (283179085).

Almost surely, 23005165540 is an apocalyptic number.

It is an amenable number.

3005165540 is an abundant number, since it is smaller than the sum of its proper divisors (3791132500).

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

3005165540 is a wasteful number, since it uses less digits than its factorization.

3005165540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558351 (or 11558349 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 3005165540 is about 54819.3901826717. The cubic root of 3005165540 is about 1443.0768731977.

The spelling of 3005165540 in words is "three billion, five million, one hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 11558329 23116658 46233316 57791645 115583290 150258277 231166580 300516554 601033108 751291385 1502582770 3005165540