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9996400323 = 337132327691
BaseRepresentation
bin10010100111101010…
…01111011011000011
3221210122222202022000
421103311033123003
5130433034302243
64331533315043
7502502000160
oct112365173303
927718882260
109996400323
11426a786578
121b2b935a83
13c34029ba0
146ab8a7067
153d78eb5d3
hex253d4f6c3

9996400323 has 96 divisors (see below), whose sum is σ = 19056468480. Its totient is φ = 5042917440.

The previous prime is 9996400319. The next prime is 9996400357. The reversal of 9996400323 is 3230046999.

It is a Cunningham number, because it is equal to 999822-1.

It is not a de Polignac number, because 9996400323 - 22 = 9996400319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9996400303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1295908 + ... + 1303598.

It is an arithmetic number, because the mean of its divisors is an integer number (198504880).

Almost surely, 29996400323 is an apocalyptic number.

9996400323 is a deficient number, since it is larger than the sum of its proper divisors (9060068157).

9996400323 is a wasteful number, since it uses less digits than its factorization.

9996400323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 9996400323 is about 99981.9999949991. Note that the first 5 decimals coincide. The cubic root of 9996400323 is about 2154.1761500407.

The spelling of 9996400323 in words is "nine billion, nine hundred ninety-six million, four hundred thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 91 117 161 189 207 273 299 351 483 529 621 819 897 1449 1587 2093 2457 2691 3703 4347 4761 6279 6877 7691 8073 11109 14283 18837 20631 23073 33327 48139 53837 56511 61893 69219 99981 99983 144417 161511 176893 185679 207657 299949 433251 484533 530679 699881 899847 1238251 1299753 1453599 1592037 2099643 2299609 2699541 3714753 4068539 4776111 6298929 6898827 11144259 12205617 16097263 18896787 20696481 28479773 33432777 36616851 48291789 52891007 62089443 85439319 109850553 144875367 158673021 256317957 370237049 434626101 476019063 768953871 1110711147 1428057189 3332133441 9996400323