Search a number
-
+
85342723687683 = 32711123149673431
BaseRepresentation
bin10011011001111001100110…
…101110101100010100000011
3102012011200111011001101101100
4103121321212232230110003
542141223344231001213
6501301523411105443
723655544152140310
oct2331714656542403
9365150434041340
1085342723687683
11252137117068a0
1296a3ba95a2283
133880a27195b47
141710877687d07
159cee604b4773
hex4d9e66bac503

85342723687683 has 24 divisors (see below), whose sum is σ = 153690792443136. Its totient is φ = 44333882434800.

The previous prime is 85342723687633. The next prime is 85342723687723. The reversal of 85342723687683 is 38678632724358.

85342723687683 is a `hidden beast` number, since 8 + 53 + 4 + 2 + 72 + 368 + 76 + 83 = 666.

It is not a de Polignac number, because 85342723687683 - 26 = 85342723687619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85342723687633) 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, 61574836023 + ... + 61574837408.

It is an arithmetic number, because the mean of its divisors is an integer number (6403783018464).

Almost surely, 285342723687683 is an apocalyptic number.

85342723687683 is a deficient number, since it is larger than the sum of its proper divisors (68348068755453).

85342723687683 is a wasteful number, since it uses less digits than its factorization.

85342723687683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123149673455 (or 123149673452 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 85342723687683 in words is "eighty-five trillion, three hundred forty-two billion, seven hundred twenty-three million, six hundred eighty-seven thousand, six hundred eighty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 123149673431 369449020293 862047714017 1108347060879 1354646407741 2586143142051 4063939223223 7758429426153 9482524854187 12191817669669 28447574562561 85342723687683