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85506712135 = 51329166327277
BaseRepresentation
bin100111110100010011…
…0001110001001000111
322011201002222000221021
41033220212032021013
52400104204242020
6103140425332011
76114636026635
oct1175046161107
9264632860837
1085506712135
1133299345449
12146a4037007
1380a8c58970
1441d225c355
152356b671aa
hex13e898e247

85506712135 has 32 divisors (see below), whose sum is σ = 114384291840. Its totient is φ = 60927164928.

The previous prime is 85506712063. The next prime is 85506712139. The reversal of 85506712135 is 53121760558.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85506712135 - 213 = 85506703943 is a prime.

It is a super-2 number, since 2×855067121352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85506712091 and 85506712100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85506712139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3121117 + ... + 3148393.

It is an arithmetic number, because the mean of its divisors is an integer number (3574509120).

Almost surely, 285506712135 is an apocalyptic number.

85506712135 is a deficient number, since it is larger than the sum of its proper divisors (28877579705).

85506712135 is a wasteful number, since it uses less digits than its factorization.

85506712135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28987.

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 85506712135 in words is "eighty-five billion, five hundred six million, seven hundred twelve thousand, one hundred thirty-five".

Divisors: 1 5 13 29 65 145 377 1663 1885 8315 21619 27277 48227 108095 136385 241135 354601 626951 791033 1773005 3134755 3955165 10283429 45361651 51417145 226808255 589701463 1315487879 2948507315 6577439395 17101342427 85506712135