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9984006399 = 3191636131753
BaseRepresentation
bin10010100110001011…
…11101100011111111
3221202210200002000210
421103011331203333
5130421401201044
64330411523503
7502261440243
oct112305754377
927683602023
109984006399
114263790864
121b27759593
13c315aa7c3
146a9d9c423
153d679e1b9
hex25317d8ff

9984006399 has 32 divisors (see below), whose sum is σ = 14129662720. Its totient is φ = 6253210368.

The previous prime is 9984006377. The next prime is 9984006421. The reversal of 9984006399 is 9936004899.

It is a Cunningham number, because it is equal to 999202-1.

It is an interprime number because it is at equal distance from previous prime (9984006377) and next prime (9984006421).

It is not a de Polignac number, because 9984006399 - 27 = 9984006271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984006199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5694507 + ... + 5696259.

It is an arithmetic number, because the mean of its divisors is an integer number (441551960).

Almost surely, 29984006399 is an apocalyptic number.

9984006399 is a deficient number, since it is larger than the sum of its proper divisors (4145656321).

9984006399 is a wasteful number, since it uses less digits than its factorization.

9984006399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551.

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 9984006399 is about 99919.9999949960. Note that the first 5 decimals coincide. The cubic root of 9984006399 is about 2153.2855048666.

The spelling of 9984006399 in words is "nine billion, nine hundred eighty-four million, six thousand, three hundred ninety-nine".

Divisors: 1 3 19 57 163 489 613 1753 1839 3097 5259 9291 11647 33307 34941 99919 99921 285739 299757 857217 1074589 1898461 3223767 5429041 5695383 16287123 20417191 61251573 175158007 525474021 3328002133 9984006399