Search a number
-
+
85836233512032 = 2534320793661219
BaseRepresentation
bin10011100001000101001110…
…001101010001010001100000
3102020220212022200212000100220
4103201011032031101101200
542222320101234341112
6502320342111243040
724036314612343033
oct2341051615212140
9366825280760326
1085836233512032
1125393a40087263
129763778b19480
1338b84258226a3
14172a6d294301a
159dcbe643798c
hex4e114e351460

85836233512032 has 48 divisors (see below), whose sum is σ = 230560115607360. Its totient is φ = 27946680676992.

The previous prime is 85836233512019. The next prime is 85836233512033. The reversal of 85836233512032 is 23021533263858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85836233512033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10396826482 + ... + 10396834737.

It is an arithmetic number, because the mean of its divisors is an integer number (4803335741820).

Almost surely, 285836233512032 is an apocalyptic number.

It is an amenable number.

85836233512032 is an abundant number, since it is smaller than the sum of its proper divisors (144723882095328).

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

85836233512032 is a wasteful number, since it uses less digits than its factorization.

85836233512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20793661275 (or 20793661267 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 85836233512032 in words is "eighty-five trillion, eight hundred thirty-six billion, two hundred thirty-three million, five hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 20793661219 41587322438 62380983657 83174644876 124761967314 166349289752 249523934628 332698579504 499047869256 665397159008 894127432417 998095738512 1788254864834 1996191477024 2682382297251 3576509729668 5364764594502 7153019459336 10729529189004 14306038918672 21459058378008 28612077837344 42918116756016 85836233512032