Search a number
-
+
4106612616 = 2331747921013
BaseRepresentation
bin1111010011000101…
…1110111110001000
3101121012022112110120
43310301132332020
531402243100431
61515254543240
7203523426351
oct36461367610
911535275416
104106612616
111818091927
12967367b20
13505a3bcc2
142ad586d28
151907d4196
hexf4c5ef88

4106612616 has 64 divisors (see below), whose sum is σ = 10893657600. Its totient is φ = 1285598208.

The previous prime is 4106612597. The next prime is 4106612623. The reversal of 4106612616 is 6162166014.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184926 + ... + 205938.

It is an arithmetic number, because the mean of its divisors is an integer number (170213400).

Almost surely, 24106612616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106612616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446828800).

4106612616 is an abundant number, since it is smaller than the sum of its proper divisors (6787044984).

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

4106612616 is a wasteful number, since it uses less digits than its factorization.

4106612616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21518 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4106612616 is about 64082.8574269281. The cubic root of 4106612616 is about 1601.3806593114.

The spelling of 4106612616 in words is "four billion, one hundred six million, six hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 479 958 1437 1916 2874 3832 5748 8143 11496 16286 21013 24429 32572 42026 48858 63039 65144 84052 97716 126078 168104 195432 252156 357221 504312 714442 1071663 1428884 2143326 2857768 4286652 8573304 10065227 20130454 30195681 40260908 60391362 80521816 120782724 171108859 241565448 342217718 513326577 684435436 1026653154 1368870872 2053306308 4106612616