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3093918129 = 32185412
BaseRepresentation
bin1011100001101001…
…0111000110110001
321222121202022210100
42320122113012301
522314020340004
61231001223013
7136445604321
oct27032270661
97877668710
103093918129
111348488535
12724191a69
133a3ca89b3
14214c93281
15131946739
hexb86971b1

3093918129 has 9 divisors (see below), whose sum is σ = 4469233899. Its totient is φ = 2062500840.

The previous prime is 3093918119. The next prime is 3093918167. The reversal of 3093918129 is 9218193903.

It is a happy number.

The square root of 3093918129 is 55623.

It is a perfect power (a square), and thus also a powerful number.

3093918129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1453668129 + 1640250000 = 38127^2 + 40500^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3093918129 - 219 = 3093393841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3093918119) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157599 + ... + 176139.

Almost surely, 23093918129 is an apocalyptic number.

3093918129 is the 55623-rd square number.

3093918129 is the 27812-nd centered octagonal number.

It is an amenable number.

3093918129 is a deficient number, since it is larger than the sum of its proper divisors (1375315770).

3093918129 is an frugal number, since it uses more digits than its factorization.

3093918129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37088 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The cubic root of 3093918129 is about 1457.1455659160.

Multiplying 3093918129 by its product of nonzero digits (104976), we get a square (324787149509904 = 180218522).

The spelling of 3093918129 in words is "three billion, ninety-three million, nine hundred eighteen thousand, one hundred twenty-nine".

Divisors: 1 3 9 18541 55623 166869 343768681 1031306043 3093918129