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10009179144367 = 1323139240831047
BaseRepresentation
bin1001000110100111000110…
…0100010100000010101111
31022102212102220102002201021
42101221301210110002233
52302442244330104432
633142053045555011
72052065534651164
oct221516144240257
938385386362637
1010009179144367
113209961763047
121157a19a15a67
13577b27a700b0
1426863825806b
15125565c09697
hex91a719140af

10009179144367 has 16 divisors (see below), whose sum is σ = 11328692497920. Its totient is φ = 8773956667872.

The previous prime is 10009179144247. The next prime is 10009179144373. The reversal of 10009179144367 is 76344197190001.

It is a de Polignac number, because none of the positive numbers 2k-10009179144367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009179144667) 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 15 ways as a sum of consecutive naturals, for example, 120373963 + ... + 120457084.

It is an arithmetic number, because the mean of its divisors is an integer number (708043281120).

Almost surely, 210009179144367 is an apocalyptic number.

10009179144367 is a deficient number, since it is larger than the sum of its proper divisors (1319513353553).

10009179144367 is a wasteful number, since it uses less digits than its factorization.

10009179144367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240831222.

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 10009179144367 in words is "ten trillion, nine billion, one hundred seventy-nine million, one hundred forty-four thousand, three hundred sixty-seven".

Divisors: 1 13 23 139 299 1807 3197 41561 240831047 3130803611 5539114081 33475515533 72008483053 435181701929 769936857259 10009179144367