Search a number
-
+
196228246959360 = 283257112773892053
BaseRepresentation
bin101100100111011111110010…
…111101000111010100000000
3221201210020101220212020211200
4230213133302331013110000
5201210000422210144420
61533202002343541200
756222010613411530
oct5447376275072400
9851706356766750
10196228246959360
1157584a288265a0
121a012422a5a800
138565323919a65
1436656d807d4c0
1517a4531302b90
hexb277f2f47500

196228246959360 has 1728 divisors, whose sum is σ = 852111797322240. Its totient is φ = 40503320248320.

The previous prime is 196228246959359. The next prime is 196228246959377. The reversal of 196228246959360 is 63959642822691.

It is a happy number.

196228246959360 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 2 + 8 + 24 + 6 + 9 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95581220094 + ... + 95581222146.

It is an arithmetic number, because the mean of its divisors is an integer number (493120253080).

Almost surely, 2196228246959360 is an apocalyptic number.

196228246959360 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 196228246959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426055898661120).

196228246959360 is an abundant number, since it is smaller than the sum of its proper divisors (655883550362880).

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

196228246959360 is a wasteful number, since it uses less digits than its factorization.

196228246959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 196228246959360 in words is "one hundred ninety-six trillion, two hundred twenty-eight billion, two hundred forty-six million, nine hundred fifty-nine thousand, three hundred sixty".