Search a number
-
+
198862330968 = 23327192632812
BaseRepresentation
bin1011100100110100011…
…1100101110001011000
3201000022001120002222100
42321031013211301120
511224232224042333
6231204525523400
720236664631450
oct2711507456130
9630261502870
10198862330968
1177378668664
123265a713560
13159a270c932
1498a6d78d60
15528d64c213
hex2e4d1e5c58

198862330968 has 288 divisors, whose sum is σ = 652708742400. Its totient is φ = 53431902720.

The previous prime is 198862330963. The next prime is 198862331027. The reversal of 198862330968 is 869033268891.

198862330968 is a `hidden beast` number, since 198 + 86 + 2 + 3 + 309 + 68 = 666.

198862330968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198862330963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 707694988 + ... + 707695268.

It is an arithmetic number, because the mean of its divisors is an integer number (2266349800).

Almost surely, 2198862330968 is an apocalyptic number.

198862330968 is a gapful number since it is divisible by the number (18) 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 198862330968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326354371200).

198862330968 is an abundant number, since it is smaller than the sum of its proper divisors (453846411432).

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

198862330968 is a wasteful number, since it uses less digits than its factorization.

198862330968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 198862330968 in words is "one hundred ninety-eight billion, eight hundred sixty-two million, three hundred thirty thousand, nine hundred sixty-eight".