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9907234944 = 273314311931
BaseRepresentation
bin10010011101000010…
…00110100010000000
3221120110012200101120
421032201012202000
5130242223004234
64315030232240
7500340051615
oct111641064200
927513180346
109907234944
114224415282
121b05ab5680
13c1b70aac9
1469dad650c
153ceb87049
hex24e846880

9907234944 has 128 divisors (see below), whose sum is σ = 27242127360. Its totient is φ = 3186816000.

The previous prime is 9907234943. The next prime is 9907234973. The reversal of 9907234944 is 4494327099.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×99072349442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9907234943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5129659 + ... + 5131589.

It is an arithmetic number, because the mean of its divisors is an integer number (212829120).

Almost surely, 29907234944 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 9907234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621063680).

9907234944 is an abundant number, since it is smaller than the sum of its proper divisors (17334892416).

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

9907234944 is a wasteful number, since it uses less digits than its factorization.

9907234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 9907234944 is about 99535.0940322055. The cubic root of 9907234944 is about 2147.7521084119.

The spelling of 9907234944 in words is "nine billion, nine hundred seven million, two hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 431 496 744 862 992 1293 1488 1724 1931 1984 2586 2976 3448 3862 3968 5172 5793 5952 6896 7724 10344 11586 11904 13361 13792 15448 20688 23172 26722 27584 30896 40083 41376 46344 53444 55168 59861 61792 80166 82752 92688 106888 119722 123584 160332 165504 179583 185376 213776 239444 247168 320664 359166 370752 427552 478888 641328 718332 741504 832261 855104 957776 1282656 1436664 1664522 1710208 1915552 2496783 2565312 2873328 3329044 3831104 4993566 5130624 5746656 6658088 7662208 9987132 11493312 13316176 19974264 22986624 25800091 26632352 39948528 51600182 53264704 77400273 79897056 103200364 106529408 154800546 159794112 206400728 309601092 319588224 412801456 619202184 825602912 1238404368 1651205824 2476808736 3302411648 4953617472 9907234944