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85199766799158 = 232114091052082769
BaseRepresentation
bin10011010111110100011101…
…110101011100001100110110
3102011200000111020110000010100
4103113310131311130030312
542131403110300033113
6501112122120534530
723642323434502614
oct2327643565341466
9364600436400110
1085199766799158
1125169022228630
129680351621446
1338703c3b3548b
1417079954766b4
159cb394db7d73
hex4d7d1dd5c336

85199766799158 has 48 divisors (see below), whose sum is σ = 201873641907600. Its totient is φ = 25754986160640.

The previous prime is 85199766799109. The next prime is 85199766799159.

85199766799158 is a `hidden beast` number, since 8 + 519 + 9 + 7 + 6 + 6 + 79 + 9 + 15 + 8 = 666.

85199766799158 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85199766799159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525960403 + ... + 526122366.

It is an arithmetic number, because the mean of its divisors is an integer number (4205700873075).

Almost surely, 285199766799158 is an apocalyptic number.

85199766799158 is an abundant number, since it is smaller than the sum of its proper divisors (116673875108442).

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

85199766799158 is a wasteful number, since it uses less digits than its factorization.

85199766799158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052083197 (or 1052083194 counting only the distinct ones).

The product of its digits is 18517766400, while the sum is 90.

The spelling of 85199766799158 in words is "eighty-five trillion, one hundred ninety-nine billion, seven hundred sixty-six million, seven hundred ninety-nine thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 409 818 1227 2454 3681 4499 7362 8998 13497 26994 40491 80982 1052082769 2104165538 3156248307 6312496614 9468744921 11572910459 18937489842 23145820918 34718731377 69437462754 104156194131 208312388262 430301852521 860603705042 1290905557563 2581811115126 3872716672689 4733320377731 7745433345378 9466640755462 14199961133193 28399922266386 42599883399579 85199766799158