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85384700775 = 33521111499623
BaseRepresentation
bin100111110000101010…
…0110010001101100111
322011101121101012211000
41033201110302031213
52344331440411100
6103120350244343
76111624660453
oct1174124621547
9264347335730
1085384700775
113323648a510
121466b1b66b3
1380898a93aa
1441bdd7b663
15234b0b5900
hex13e1532367

85384700775 has 48 divisors (see below), whose sum is σ = 171114405120. Its totient is φ = 41398639200.

The previous prime is 85384700771. The next prime is 85384700809. The reversal of 85384700775 is 57700748358.

It is not a de Polignac number, because 85384700775 - 22 = 85384700771 is a prime.

It is a super-3 number, since 3×853847007753 (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 (85384700771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5742387 + ... + 5757236.

It is an arithmetic number, because the mean of its divisors is an integer number (3564883440).

Almost surely, 285384700775 is an apocalyptic number.

85384700775 is an abundant number, since it is smaller than the sum of its proper divisors (85729704345).

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

85384700775 is a wasteful number, since it uses less digits than its factorization.

85384700775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11499653 (or 11499642 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 85384700775 in words is "eighty-five billion, three hundred eighty-four million, seven hundred thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 11499623 34498869 57498115 103496607 126495853 172494345 287490575 310489821 379487559 517483035 632479265 862471725 1138462677 1552449105 1897437795 2587415175 3162396325 3415388031 5692313385 7762245525 9487188975 17076940155 28461566925 85384700775