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85458623868 = 223259163246839
BaseRepresentation
bin100111110010110111…
…0110001110101111100
322011120202110220020100
41033211232301311330
52400004401430433
6103131550521100
76113513213622
oct1174556616574
9264522426210
1085458623868
113327418aa82
121468bb06190
13809bcbc777
1441c9b01512
152352818b13
hex13e5bb1d7c

85458623868 has 72 divisors (see below), whose sum is σ = 221030409600. Its totient is φ = 27831478176.

The previous prime is 85458623863. The next prime is 85458623891. The reversal of 85458623868 is 86832685458.

85458623868 is a `hidden beast` number, since 8 + 545 + 8 + 6 + 2 + 3 + 86 + 8 = 666.

It is a super-3 number, since 3×854586238683 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85458623863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 222793 + ... + 469631.

It is an arithmetic number, because the mean of its divisors is an integer number (3069866800).

Almost surely, 285458623868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85458623868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110515204800).

85458623868 is an abundant number, since it is smaller than the sum of its proper divisors (135571785732).

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

85458623868 is a wasteful number, since it uses less digits than its factorization.

85458623868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247071 (or 247066 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 85458623868 in words is "eighty-five billion, four hundred fifty-eight million, six hundred twenty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 163 177 236 326 354 489 531 652 708 978 1062 1467 1956 2124 2934 5868 9617 19234 28851 38468 57702 86553 115404 173106 246839 346212 493678 740517 987356 1481034 2221551 2962068 4443102 8886204 14563501 29127002 40234757 43690503 58254004 80469514 87381006 120704271 131071509 160939028 174762012 241408542 262143018 362112813 482817084 524286036 724225626 1448451252 2373850663 4747701326 7121551989 9495402652 14243103978 21364655967 28486207956 42729311934 85458623868