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993697796399 = 71119679219273
BaseRepresentation
bin11100111010111010000…
…00010001000100101111
310111222220111201022101212
432131131000101010233
5112240043113441044
62040255400225035
7131535520622420
oct16353500210457
93458814638355
10993697796399
11353474556070
1214070346b17b
137292270cc99
143614944d647
151acad336a9e
hexe75d01112f

993697796399 has 16 divisors (see below), whose sum is σ = 1304101006080. Its totient is φ = 733556813760.

The previous prime is 993697796387. The next prime is 993697796407.

993697796399 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 993697796399 - 24 = 993697796383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 993697796399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993697796309) 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, 339608174 + ... + 339611099.

It is an arithmetic number, because the mean of its divisors is an integer number (81506312880).

Almost surely, 2993697796399 is an apocalyptic number.

993697796399 is a deficient number, since it is larger than the sum of its proper divisors (310403209681).

993697796399 is a wasteful number, since it uses less digits than its factorization.

993697796399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679219310.

The product of its digits is 8437157316, while the sum is 86.

The spelling of 993697796399 in words is "nine hundred ninety-three billion, six hundred ninety-seven million, seven hundred ninety-six thousand, three hundred ninety-nine".

Divisors: 1 7 11 19 77 133 209 1463 679219273 4754534911 7471412003 12905166187 52299884021 90336163309 141956828057 993697796399