Search a number
-
+
96200795880 = 23335731601683
BaseRepresentation
bin101100110011000000…
…0111010011011101000
3100012022101202202222000
41121212000322123220
53034004400432010
6112105524531000
76643642162440
oct1314600723350
9305271682860
1096200795880
1137886928892
1216789550a60
1390c1693677
144928659120
1527809297c0
hex166603a6e8

96200795880 has 512 divisors, whose sum is σ = 379485388800. Its totient is φ = 21212928000.

The previous prime is 96200795863. The next prime is 96200795893. The reversal of 96200795880 is 8859700269.

It is a happy number.

96200795880 is a `hidden beast` number, since 9 + 620 + 0 + 7 + 9 + 5 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 140850019 + ... + 140850701.

It is an arithmetic number, because the mean of its divisors is an integer number (741182400).

Almost surely, 296200795880 is an apocalyptic number.

96200795880 is a gapful number since it is divisible by the number (90) 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 96200795880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189742694400).

96200795880 is an abundant number, since it is smaller than the sum of its proper divisors (283284592920).

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

96200795880 is a wasteful number, since it uses less digits than its factorization.

96200795880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 96200795880 in words is "ninety-six billion, two hundred million, seven hundred ninety-five thousand, eight hundred eighty".