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85382763810 = 2354382979841
BaseRepresentation
bin100111110000100110…
…1011001010100100010
322011101110201210210120
41033201031121110202
52344330441420220
6103120240541110
76111602342361
oct1174115312442
9264343653716
1085382763810
1133235387213
121466a621796
13808937b866
1441bd9d57d8
15234ad31a40
hex13e1359522

85382763810 has 64 divisors (see below), whose sum is σ = 209939748480. Its totient is φ = 22212126720.

The previous prime is 85382763707. The next prime is 85382763847. The reversal of 85382763810 is 1836728358.

It is a super-2 number, since 2×853827638102 (a number of 23 digits) contains 22 as substring.

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, 1029490 + ... + 1109330.

It is an arithmetic number, because the mean of its divisors is an integer number (3280308570).

Almost surely, 285382763810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85382763810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104969874240).

85382763810 is an abundant number, since it is smaller than the sum of its proper divisors (124556984670).

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

85382763810 is a wasteful number, since it uses less digits than its factorization.

85382763810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80723.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 85382763810 in words is "eighty-five billion, three hundred eighty-two million, seven hundred sixty-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 829 1290 1658 2487 4145 4974 8290 12435 24870 35647 71294 79841 106941 159682 178235 213882 239523 356470 399205 479046 534705 798410 1069410 1197615 2395230 3433163 6866326 10299489 17165815 20598978 34331630 51497445 66188189 102994890 132376378 198564567 330940945 397129134 661881890 992822835 1985645670 2846092127 5692184254 8538276381 14230460635 17076552762 28460921270 42691381905 85382763810