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993401197189911 = 32176492818282287
BaseRepresentation
bin1110000111011111100011110…
…1011110100101101100010111
311211021100020010110111020021200
43201313320331132211230113
52020201341122440034121
613440442113154043543
7416146603510616016
oct34167707536455427
94737306113436250
10993401197189911
1126858a099997144
12934bb982b795b3
133383c43c0b9793
1413744c35840a7d
1579ca9a1678a26
hex3877e3d7a5b17

993401197189911 has 12 divisors (see below), whose sum is σ = 1519319478055392. Its totient is φ = 623310555099456.

The previous prime is 993401197189781. The next prime is 993401197189913. The reversal of 993401197189911 is 119981791104399.

993401197189911 is a `hidden beast` number, since 9 + 9 + 3 + 401 + 197 + 18 + 9 + 9 + 11 = 666.

It is not a de Polignac number, because 993401197189911 - 211 = 993401197187863 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993401197189911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993401197189913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3246409140991 + ... + 3246409141296.

It is an arithmetic number, because the mean of its divisors is an integer number (126609956504616).

Almost surely, 2993401197189911 is an apocalyptic number.

993401197189911 is a deficient number, since it is larger than the sum of its proper divisors (525918280865481).

993401197189911 is a wasteful number, since it uses less digits than its factorization.

993401197189911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492818282310 (or 6492818282307 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 72.

The spelling of 993401197189911 in words is "nine hundred ninety-three trillion, four hundred one billion, one hundred ninety-seven million, one hundred eighty-nine thousand, nine hundred eleven".

Divisors: 1 3 9 17 51 153 6492818282287 19478454846861 58435364540583 110377910798879 331133732396637 993401197189911