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9931324368 = 2437712111973
BaseRepresentation
bin10010011111111001…
…11111101111010000
3221122010112112212110
421033330333233100
5130314404334433
64321250425320
7501051602310
oct111774775720
927563475773
109931324368
114236a78a99
121b11b92240
13c236c36c4
146a2da7440
153d1d44963
hex24ff3fbd0

9931324368 has 160 divisors (see below), whose sum is σ = 29890086912. Its totient is φ = 2782886400.

The previous prime is 9931324357. The next prime is 9931324373. The reversal of 9931324368 is 8634231399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5032630 + ... + 5034602.

Almost surely, 29931324368 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 9931324368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945043456).

9931324368 is an abundant number, since it is smaller than the sum of its proper divisors (19958762544).

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

9931324368 is a wasteful number, since it uses less digits than its factorization.

9931324368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2267 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 9931324368 is about 99656.0302641039. The cubic root of 9931324368 is about 2149.4914512364.

The spelling of 9931324368 in words is "nine billion, nine hundred thirty-one million, three hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 211 213 284 336 422 426 497 568 633 844 852 994 1136 1266 1477 1491 1688 1704 1973 1988 2532 2954 2982 3376 3408 3946 3976 4431 5064 5908 5919 5964 7892 7952 8862 10128 11816 11838 11928 13811 14981 15784 17724 23632 23676 23856 27622 29962 31568 35448 41433 44943 47352 55244 59924 70896 82866 89886 94704 104867 110488 119848 140083 165732 179772 209734 220976 239696 280166 314601 331464 359544 416303 419468 420249 560332 629202 662928 719088 832606 838936 840498 980581 1120664 1248909 1258404 1665212 1677872 1680996 1961162 2241328 2497818 2516808 2914121 2941743 3330424 3361992 3922324 4995636 5033616 5828242 5883486 6660848 6723984 7844648 8742363 9991272 11656484 11766972 15689296 17484726 19982544 23312968 23533944 29557513 34969452 46625936 47067888 59115026 69938904 88672539 118230052 139877808 177345078 206902591 236460104 354690156 413805182 472920208 620707773 709380312 827610364 1241415546 1418760624 1655220728 2482831092 3310441456 4965662184 9931324368