Search a number
-
+
198843956892 = 223378311172837
BaseRepresentation
bin1011100100110000000…
…1011111111010011100
3201000020202222121111000
42321030001133322130
511224213023110032
6231203032030300
720236352513640
oct2711401377234
9630222877430
10198843956892
1177369258979
1232654532390
131599b9785b9
1498a4754c20
15528bc1ce7c
hex2e4c05fe9c

198843956892 has 192 divisors, whose sum is σ = 597009853440. Its totient is φ = 56058054912.

The previous prime is 198843956891. The next prime is 198843956897. The reversal of 198843956892 is 298659348891.

198843956892 is a `hidden beast` number, since 1 + 98 + 8 + 4 + 395 + 68 + 92 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 198843956892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198843956891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70088098 + ... + 70090934.

It is an arithmetic number, because the mean of its divisors is an integer number (3109426320).

Almost surely, 2198843956892 is an apocalyptic number.

198843956892 is a gapful number since it is divisible by the number (12) 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 198843956892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298504926720).

198843956892 is an abundant number, since it is smaller than the sum of its proper divisors (398165896548).

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

198843956892 is a wasteful number, since it uses less digits than its factorization.

198843956892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4049 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 198843956892 in words is "one hundred ninety-eight billion, eight hundred forty-three million, nine hundred fifty-six thousand, eight hundred ninety-two".