Search a number
-
+
9904294749 = 319315605147
BaseRepresentation
bin10010011100101011…
…11000101101011101
3221120020200022012110
421032111320231131
5130240444412444
64314443224233
7500303054616
oct111625705535
927506608173
109904294749
114222797268
121b04b18079
13c1ac1b74b
1469d56cc0d
153ce7a5cb9
hex24e578b5d

9904294749 has 16 divisors (see below), whose sum is σ = 14349178880. Its totient is φ = 6053557680.

The previous prime is 9904294727. The next prime is 9904294759. The reversal of 9904294749 is 9474924099.

It is not a de Polignac number, because 9904294749 - 29 = 9904294237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9904294759) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2800807 + ... + 2804340.

It is an arithmetic number, because the mean of its divisors is an integer number (896823680).

Almost surely, 29904294749 is an apocalyptic number.

It is an amenable number.

9904294749 is a deficient number, since it is larger than the sum of its proper divisors (4444884131).

9904294749 is a wasteful number, since it uses less digits than its factorization.

9904294749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605200.

The product of its (nonzero) digits is 5878656, while the sum is 57.

The square root of 9904294749 is about 99520.3232962996. The cubic root of 9904294749 is about 2147.5396227945.

The spelling of 9904294749 in words is "nine billion, nine hundred four million, two hundred ninety-four thousand, seven hundred forty-nine".

Divisors: 1 3 19 31 57 93 589 1767 5605147 16815441 106497793 173759557 319493379 521278671 3301431583 9904294749