Search a number
-
+
9406113402 = 2372294192633
BaseRepresentation
bin10001100001010010…
…11110011001111010
3220021112021001212110
420300221132121322
5123230431112102
64153205353150
7452043434100
oct106051363172
926245231773
109406113402
113a97562244
1219a61087b6
13b6b95239a
1465332bc70
153a0b9b86c
hex230a5e67a

9406113402 has 96 divisors (see below), whose sum is σ = 22700865600. Its totient is φ = 2587613952.

The previous prime is 9406113383. The next prime is 9406113439. The reversal of 9406113402 is 2043116049.

9406113402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9406113402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3571078 + ... + 3573710.

It is an arithmetic number, because the mean of its divisors is an integer number (236467350).

Almost surely, 29406113402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9406113402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350432800).

9406113402 is an abundant number, since it is smaller than the sum of its proper divisors (13294752198).

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

9406113402 is a wasteful number, since it uses less digits than its factorization.

9406113402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9406113402 is about 96985.1194874760. The cubic root of 9406113402 is about 2110.9117150403.

The spelling of 9406113402 in words is "nine billion, four hundred six million, one hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 419 609 838 1218 1257 1421 2514 2633 2842 2933 4263 5266 5866 7899 8526 8799 12151 15798 17598 18431 20531 24302 36453 36862 41062 55293 61593 72906 76357 85057 110586 123186 129017 152714 170114 229071 255171 258034 387051 458142 510342 534499 595399 774102 1068998 1103227 1190798 1603497 1786197 2206454 3206994 3309681 3572394 3741493 6619362 7482986 7722589 11224479 15445178 22448958 23167767 31993583 46335534 54058123 63987166 95980749 108116246 162174369 191961498 223955081 324348738 447910162 671865243 1343730486 1567685567 3135371134 4703056701 9406113402