Search a number
-
+
189747366120 = 2332513219164147
BaseRepresentation
bin1011000010110111010…
…0110000100011101000
3200010202211010220211200
42300231310300203220
511102100311203440
6223100240324200
716465055000064
oct2605564604350
9603684126750
10189747366120
1173520494664
1230936013660
1314b7c1a9500
149280598aa4
154e08311c30
hex2c2dd308e8

189747366120 has 288 divisors, whose sum is σ = 702914565600. Its totient is φ = 44248508928.

The previous prime is 189747366119. The next prime is 189747366143. The reversal of 189747366120 is 21663747981.

189747366120 is a `hidden beast` number, since 1 + 8 + 97 + 473 + 6 + 61 + 20 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1073887 + ... + 1238033.

It is an arithmetic number, because the mean of its divisors is an integer number (2440675575).

Almost surely, 2189747366120 is an apocalyptic number.

189747366120 is a gapful number since it is divisible by the number (10) 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 189747366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351457282800).

189747366120 is an abundant number, since it is smaller than the sum of its proper divisors (513167199480).

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

189747366120 is a wasteful number, since it uses less digits than its factorization.

189747366120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164209 (or 164189 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 189747366120 in words is "one hundred eighty-nine billion, seven hundred forty-seven million, three hundred sixty-six thousand, one hundred twenty".