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85346144164358 = 2711803968938393
BaseRepresentation
bin10011011001111100110010…
…100110110001101000000110
3102012012000022112021121021122
4103121330302212301220012
542141302400401224413
6501303251035513542
723656025004540440
oct2331746246615006
9365160275247248
1085346144164358
1125215107458620
1296a47a2bb88b2
133881150a0b03c
141710abda65490
159d00b0914108
hex4d9f329b1a06

85346144164358 has 32 divisors (see below), whose sum is σ = 159628230074880. Its totient is φ = 33247607693760.

The previous prime is 85346144164313. The next prime is 85346144164387.

85346144164358 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 85346144164358.

It is a congruent number.

It is an unprimeable number.

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, 33231191 + ... + 35707202.

It is an arithmetic number, because the mean of its divisors is an integer number (4988382189840).

Almost surely, 285346144164358 is an apocalyptic number.

85346144164358 is a deficient number, since it is larger than the sum of its proper divisors (74282085910522).

85346144164358 is a wasteful number, since it uses less digits than its factorization.

85346144164358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68946452.

The product of its digits is 132710400, while the sum is 62.

The spelling of 85346144164358 in words is "eighty-five trillion, three hundred forty-six billion, one hundred forty-four million, one hundred sixty-four thousand, three hundred fifty-eight".

Divisors: 1 2 7 11 14 22 77 154 8039 16078 56273 88429 112546 176858 619003 1238006 68938393 137876786 482568751 758322323 965137502 1516644646 5308256261 10616512522 554195741327 1108391482654 3879370189289 6096153154597 7758740378578 12192306309194 42673072082179 85346144164358