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993752162405 = 5296853463189
BaseRepresentation
bin11100111011000000011…
…11101010000001100101
310112000001022000101112122
432131200033222001211
5112240201023144110
62040305021355325
7131540051003042
oct16354017520145
93460038011478
10993752162405
113534a2209052
12140719708b45
1372930a66712
14361527621c9
151acb2ec5255
hexe7603ea065

993752162405 has 8 divisors (see below), whose sum is σ = 1233623374200. Its totient is φ = 767587877056.

The previous prime is 993752162399. The next prime is 993752162419. The reversal of 993752162405 is 504261257399.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 873438916 + 992878723489 = 29554^2 + 996433^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993752162405 - 28 = 993752162149 is a prime.

It is a super-2 number, since 2×9937521624052 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3426731450 + ... + 3426731739.

It is an arithmetic number, because the mean of its divisors is an integer number (154202921775).

Almost surely, 2993752162405 is an apocalyptic number.

It is an amenable number.

993752162405 is a deficient number, since it is larger than the sum of its proper divisors (239871211795).

993752162405 is a wasteful number, since it uses less digits than its factorization.

993752162405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853463223.

The product of its (nonzero) digits is 4082400, while the sum is 53.

The spelling of 993752162405 in words is "nine hundred ninety-three billion, seven hundred fifty-two million, one hundred sixty-two thousand, four hundred five".

Divisors: 1 5 29 145 6853463189 34267315945 198750432481 993752162405