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9979919404 = 22713193146549
BaseRepresentation
bin10010100101101100…
…10111110000101100
3221202111222102201121
421102312113300230
5130414324410104
64330144150324
7502211625640
oct112266276054
927674872647
109979919404
11426144a184
121b263083a4
13c307a9470
146a9616c20
153d6243254
hex252d97c2c

9979919404 has 96 divisors (see below), whose sum is σ = 23356928000. Its totient is φ = 3619572480.

The previous prime is 9979919401. The next prime is 9979919449. The reversal of 9979919404 is 4049199799.

It is a happy number.

9979919404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9979919401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 191122 + ... + 237670.

Almost surely, 29979919404 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 9979919404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678464000).

9979919404 is an abundant number, since it is smaller than the sum of its proper divisors (13377008596).

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

9979919404 is a wasteful number, since it uses less digits than its factorization.

9979919404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46623 (or 46621 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 61.

The square root of 9979919404 is about 99899.5465655375. The cubic root of 9979919404 is about 2152.9916459403.

The spelling of 9979919404 in words is "nine billion, nine hundred seventy-nine million, nine hundred nineteen thousand, four hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 52 62 76 91 124 133 182 217 247 266 364 403 434 494 532 589 806 868 988 1178 1612 1729 2356 2821 3458 4123 5642 6916 7657 8246 11284 15314 16492 30628 46549 53599 93098 107198 186196 214396 325843 605137 651686 884431 1210274 1303372 1443019 1768862 2420548 2886038 3537724 4235959 5772076 6191017 8471918 10101133 11497603 12382034 16943836 18759247 20202266 22995206 24764068 27417361 37518494 40404532 45990412 54834722 75036988 80483221 109669444 131314729 160966442 191921527 262629458 321932884 356425693 383843054 525258916 712851386 767686108 1425702772 2494979851 4989959702 9979919404