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85413485332 = 227431491672851
BaseRepresentation
bin100111110001100001…
…0100101101100010100
322011110121112121210201
41033203002211230110
52344411323012312
6103123255230244
76112424434450
oct1174302455424
9264417477721
1085413485332
113325075a7aa
1214678978384
138092847086
1441c3b11660
15234d89e557
hex13e30a5b14

85413485332 has 96 divisors (see below), whose sum is σ = 177088665600. Its totient is φ = 35289475200.

The previous prime is 85413485323. The next prime is 85413485347. The reversal of 85413485332 is 23358431458.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29957707 + ... + 29960557.

It is an arithmetic number, because the mean of its divisors is an integer number (1844673600).

Almost surely, 285413485332 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 85413485332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88544332800).

85413485332 is an abundant number, since it is smaller than the sum of its proper divisors (91675180268).

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

85413485332 is a wasteful number, since it uses less digits than its factorization.

85413485332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3219 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The spelling of 85413485332 in words is "eighty-five billion, four hundred thirteen million, four hundred eighty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 149 167 172 298 301 334 596 602 668 1043 1169 1204 2086 2338 2851 4172 4676 5702 6407 7181 11404 12814 14362 19957 24883 25628 28724 39914 44849 49766 50267 79828 89698 99532 100534 122593 174181 179396 201068 245186 348362 424799 476117 490372 696724 849598 858151 952234 1069969 1699196 1716302 1904468 2139938 2973593 3332819 3432604 4279876 5947186 6665638 7489783 11894372 13331276 14979566 18266357 20473031 29959132 36532714 40946062 70941433 73065428 81892124 127864499 141882866 143311217 255728998 283765732 286622434 496590031 511457996 573244868 993180062 1986360124 3050481619 6100963238 12201926476 21353371333 42706742666 85413485332