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9914820444 = 2233178365063
BaseRepresentation
bin10010011101111100…
…00010011101011100
3221120222111001202000
421032332002131130
5130301143223234
64315501002300
7500461404024
oct111676023534
927528431660
109914820444
114228726391
121b08553390
13c20165679
146a0b0ca84
153d0684899
hex24ef8275c

9914820444 has 96 divisors (see below), whose sum is σ = 27545495040. Its totient is φ = 3073008384.

The previous prime is 9914820413. The next prime is 9914820451. The reversal of 9914820444 is 4440284199.

It is a self number, because there is not a number n which added to its sum of digits gives 9914820444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119857 + ... + 184919.

It is an arithmetic number, because the mean of its divisors is an integer number (286932240).

Almost surely, 29914820444 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 9914820444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772747520).

9914820444 is an abundant number, since it is smaller than the sum of its proper divisors (17630674596).

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

9914820444 is a wasteful number, since it uses less digits than its factorization.

9914820444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65176 (or 65168 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9914820444 is about 99573.1913920609. The cubic root of 9914820444 is about 2148.3001125567.

The spelling of 9914820444 in words is "nine billion, nine hundred fourteen million, eight hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 16932 25398 38097 50796 65063 76194 130126 152388 195189 260252 390378 585567 780756 1106071 1171134 1756701 2212142 2342268 3318213 3513402 4424284 5400229 6636426 7026804 9954639 10800458 13272852 16200687 19909278 21600916 29863917 32401374 39818556 48602061 59727834 64802748 91803893 97204122 119455668 145806183 183607786 194408244 275411679 291612366 367215572 550823358 583224732 826235037 1101646716 1652470074 2478705111 3304940148 4957410222 9914820444