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9997818432 = 263731239963
BaseRepresentation
bin10010100111110101…
…01001101001000000
3221210202122210120120
421103322221221000
5130433420142212
64332023540240
7502520024460
oct112372515100
927722583516
109997818432
114270564a68
121b302ba680
13c344054c4
146abb55ba0
153d7acb88c
hex253ea9a40

9997818432 has 112 divisors (see below), whose sum is σ = 31206838272. Its totient is φ = 2764362240.

The previous prime is 9997818419. The next prime is 9997818451. The reversal of 9997818432 is 2348187999.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78318 + ... + 161645.

Almost surely, 29997818432 is an apocalyptic number.

It is an amenable number.

9997818432 is an abundant number, since it is smaller than the sum of its proper divisors (21209019840).

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

9997818432 is a wasteful number, since it uses less digits than its factorization.

9997818432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240016 (or 240006 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 9997818432 is about 99989.0915650302. The cubic root of 9997818432 is about 2154.2780104452.

The spelling of 9997818432 in words is "nine billion, nine hundred ninety-seven million, eight hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 239963 479926 719889 959852 1439778 1679741 1919704 2879556 3359482 3839408 5039223 5759112 6718964 7438853 7678816 10078446 11518224 13437928 14877706 15357632 20156892 22316559 23036448 26875856 29755412 40313784 44633118 46072896 52071971 53751712 59510824 80627568 89266236 104143942 107503424 119021648 156215913 161255136 178532472 208287884 238043296 312431826 322510272 357064944 416575768 476086592 624863652 714129888 833151536 1249727304 1428259776 1666303072 2499454608 3332606144 4998909216 9997818432