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85363436358 = 2331580804377
BaseRepresentation
bin100111110000000001…
…1101010101101000110
322011100010100212112000
41033200003222231012
52344311014430413
6103114310410130
76111246144204
oct1174003525506
9264303325460
1085363436358
1133225486212
1214664060946
1380853725b5
1441bb204074
1523492b5073
hex13e00eab46

85363436358 has 16 divisors (see below), whose sum is σ = 189696525360. Its totient is φ = 28454478768.

The previous prime is 85363436329. The next prime is 85363436377.

It is a happy number.

85363436358 is a `hidden beast` number, since 8 + 536 + 3 + 43 + 63 + 5 + 8 = 666.

85363436358 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1580804377 = 85363436358 / (8 + 5 + 3 + 6 + 3 + 4 + 3 + 6 + 3 + 5 + 8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790402135 + ... + 790402242.

It is an arithmetic number, because the mean of its divisors is an integer number (11856032835).

Almost surely, 285363436358 is an apocalyptic number.

85363436358 is an abundant number, since it is smaller than the sum of its proper divisors (104333089002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85363436358 is a wasteful number, since it uses less digits than its factorization.

85363436358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580804388 (or 1580804382 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 85363436358 in words is "eighty-five billion, three hundred sixty-three million, four hundred thirty-six thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 1580804377 3161608754 4742413131 9484826262 14227239393 28454478786 42681718179 85363436358