Search a number
-
+
185018500096 = 210953189593
BaseRepresentation
bin1010110001001111110…
…1100100010000000000
3122200120020221122011121
42230103331210100000
511012404214000341
6220555112322024
716236634205503
oct2542375442000
9580506848147
10185018500096
1171514135621
122ba363a3314
13145a757c931
148d5251513a
154c2d0b64d1
hex2b13f64400

185018500096 has 44 divisors (see below), whose sum is σ = 370246367772. Its totient is φ = 92411691008.

The previous prime is 185018500087. The next prime is 185018500109. The reversal of 185018500096 is 690005810581.

It can be written as a sum of positive squares in 2 ways, for example, as 28202500096 + 156816000000 = 167936^2 + 396000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 881076 + ... + 1070668.

Almost surely, 2185018500096 is an apocalyptic number.

185018500096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185018500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185123183886).

185018500096 is an abundant number, since it is smaller than the sum of its proper divisors (185227867676).

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

185018500096 is an equidigital number, since it uses as much as digits as its factorization.

185018500096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190566 (or 190548 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 185018500096 in words is "one hundred eighty-five billion, eighteen million, five hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 953 1024 1906 3812 7624 15248 30496 60992 121984 189593 243968 379186 487936 758372 975872 1516744 3033488 6066976 12133952 24267904 48535808 97071616 180682129 194143232 361364258 722728516 1445457032 2890914064 5781828128 11563656256 23127312512 46254625024 92509250048 185018500096