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993650056399 = 711135091950211
BaseRepresentation
bin11100111010110100010…
…10001001110011001111
310111222210011212212102201
432131122022021303033
5112234443403301044
62040250533102331
7131534401056640
oct16353212116317
93458704785381
10993650056399
1135344a609320
121406ab4879a7
1372915866470
1436142d836c7
151aca90567d4
hexe75a289ccf

993650056399 has 32 divisors (see below), whose sum is σ = 1336753313280. Its totient is φ = 713308809600.

The previous prime is 993650056387. The next prime is 993650056439.

It is a happy number.

993650056399 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 993650056399 - 223 = 993641667791 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993650056399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993650056339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465597 + ... + 1484614.

It is an arithmetic number, because the mean of its divisors is an integer number (41773541040).

Almost surely, 2993650056399 is an apocalyptic number.

993650056399 is a deficient number, since it is larger than the sum of its proper divisors (343103256881).

993650056399 is a wasteful number, since it uses less digits than its factorization.

993650056399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950751.

The product of its (nonzero) digits is 53144100, while the sum is 64.

The spelling of 993650056399 in words is "nine hundred ninety-three billion, six hundred fifty million, fifty-six thousand, three hundred ninety-nine".

Divisors: 1 7 11 13 77 91 143 509 1001 3563 5599 6617 39193 46319 72787 509509 1950211 13651477 21452321 25352743 150166247 177469201 278880173 992657399 1952161211 6948601793 10919231389 12904546187 76434619723 90331823309 141950008057 993650056399