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85716521946 = 23411232091361
BaseRepresentation
bin100111111010100011…
…0100101001111011010
322012020201202110220000
41033311012211033122
52401021412200241
6103213322313430
76123064262226
oct1176506451732
9265221673800
1085716521946
1133396818690
1214742358876
138110569093
144212075786
15236a2aceb6
hex13f51a53da

85716521946 has 80 divisors (see below), whose sum is σ = 218639348928. Its totient is φ = 24845356800.

The previous prime is 85716521927. The next prime is 85716521953. The reversal of 85716521946 is 64912561758.

It is a happy number.

85716521946 is a `hidden beast` number, since 8 + 5 + 71 + 6 + 521 + 9 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85716521892 and 85716521901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1004695 + ... + 1086666.

Almost surely, 285716521946 is an apocalyptic number.

85716521946 is an abundant number, since it is smaller than the sum of its proper divisors (132922826982).

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

85716521946 is a wasteful number, since it uses less digits than its factorization.

85716521946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091409 (or 2091400 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 85716521946 in words is "eighty-five billion, seven hundred sixteen million, five hundred twenty-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3726 4554 6831 13662 20493 40986 2091361 4182722 6274083 12548166 18822249 23004971 37644498 46009942 48101303 56466747 69014913 96202606 112933494 138029826 144303909 169400241 207044739 288607818 338800482 414089478 432911727 529114333 621134217 865823454 1058228666 1242268434 1298735181 1587342999 1863402651 2597470362 3174685998 3726805302 3896205543 4762028997 7792411086 9524057994 14286086991 28572173982 42858260973 85716521946