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9976006799 = 114159834517
BaseRepresentation
bin10010100101001110…
…11100100010001111
3221202020121122122022
421102213130202033
5130412324204144
64325524240355
7502133441633
oct112247344217
927666548568
109976006799
11425a217620
121b24b400bb
13c2ca39605
146a8cb8dc3
153d5c1dcee
hex2529dc88f

9976006799 has 32 divisors (see below), whose sum is σ = 11476442880. Its totient is φ = 8591238400.

The previous prime is 9976006769. The next prime is 9976006811.

9976006799 is nontrivially palindromic in base 10.

9976006799 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9976006799 - 212 = 9976002703 is a prime.

It is a super-4 number, since 4×99760067994 (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9976006709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206289 + ... + 2210805.

It is an arithmetic number, because the mean of its divisors is an integer number (358638840).

Almost surely, 29976006799 is an apocalyptic number.

9976006799 is a deficient number, since it is larger than the sum of its proper divisors (1500436081).

9976006799 is a wasteful number, since it uses less digits than its factorization.

9976006799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711.

The product of its (nonzero) digits is 11573604, while the sum is 62.

The square root of 9976006799 is about 99879.9619493320. The cubic root of 9976006799 is about 2152.7102506497.

The spelling of 9976006799 in words is "nine billion, nine hundred seventy-six million, six thousand, seven hundred ninety-nine".

Divisors: 1 11 41 59 83 451 649 913 2419 3403 4517 4897 26609 37433 49687 53867 185197 200777 266503 374911 2037167 2208547 2931533 4124021 10926623 15371351 22119749 120192853 169084861 243317239 906909709 9976006799