Search a number
-
+
85187534412 = 223172389203999
BaseRepresentation
bin100111101010110010…
…0101001111001001100
322010212212101010102010
41033111210221321030
52343431002100122
6103045024301220
76104012044431
oct1172544517114
9263785333363
1085187534412
1133145162502
1214615171810
138057aa4ac6
1441a1ad5b88
152338b1ae0c
hex13d5929e4c

85187534412 has 96 divisors (see below), whose sum is σ = 222082560000. Its totient is φ = 25276168192.

The previous prime is 85187534401. The next prime is 85187534437. The reversal of 85187534412 is 21443578158.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 315589 + ... + 519587.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360000).

Almost surely, 285187534412 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 85187534412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280000).

85187534412 is an abundant number, since it is smaller than the sum of its proper divisors (136895025588).

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

85187534412 is a wasteful number, since it uses less digits than its factorization.

85187534412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204135 (or 204133 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 85187534412 in words is "eighty-five billion, one hundred eighty-seven million, five hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 89 92 102 138 178 204 267 276 356 391 534 782 1068 1173 1513 1564 2047 2346 3026 4094 4539 4692 6052 6141 8188 9078 12282 18156 24564 34799 69598 104397 139196 203999 208794 407998 417588 611997 815996 1223994 2447988 3467983 4691977 6935966 9383954 10403949 13871932 14075931 18155911 18767908 20807898 28151862 36311822 41615796 54467733 56303724 72623644 79763609 108935466 159527218 217870932 239290827 308650487 319054436 417585953 478581654 617300974 835171906 925951461 957163308 1234601948 1252757859 1670343812 1851902922 2505515718 3703805844 5011031436 7098961201 14197922402 21296883603 28395844804 42593767206 85187534412