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992393418943 = 53127887166219
BaseRepresentation
bin11100111000011110100…
…00011101100010111111
310111212112121022001220201
432130033100131202333
5112224410203401233
62035522123024331
7131461301610613
oct16341720354277
93455477261821
10992393418943
11352965238a73
121403ba66b0a7
13727754016c4
143606410d343
151ac33a7e77d
hexe70f41d8bf

992393418943 has 16 divisors (see below), whose sum is σ = 1020234424320. Its totient is φ = 964907457696.

The previous prime is 992393418899. The next prime is 992393418949. The reversal of 992393418943 is 349814393299.

It is a cyclic number.

It is not a de Polignac number, because 992393418943 - 237 = 854954465471 is a prime.

It is a super-3 number, since 3×9923934189433 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992393418949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5887288 + ... + 6053506.

It is an arithmetic number, because the mean of its divisors is an integer number (63764651520).

Almost surely, 2992393418943 is an apocalyptic number.

992393418943 is a deficient number, since it is larger than the sum of its proper divisors (27841005377).

992393418943 is a wasteful number, since it uses less digits than its factorization.

992393418943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167286.

The product of its digits is 45349632, while the sum is 64.

The spelling of 992393418943 in words is "nine hundred ninety-two billion, three hundred ninety-three million, four hundred eighteen thousand, nine hundred forty-three".

Divisors: 1 53 127 887 6731 47011 112649 166219 5970397 8809607 21109813 147436253 1118820089 7814121409 18724404131 992393418943