Search a number
-
+
116650074361040 = 245117917312317879
BaseRepresentation
bin11010100001011110110110…
…001111101100110011010000
3120022000122020020200111021222
4122201132312033230303100
5110242143323014023130
61052032145424304212
733366455405110613
oct3241366617546320
9508018206614258
10116650074361040
1134194022a087a0
12110bb695a72068
135012093565c8c
1420b3c7254017a
15d7450969ace5
hex6a17b63eccd0

116650074361040 has 320 divisors, whose sum is σ = 301627094630400. Its totient is φ = 41600075212800.

The previous prime is 116650074361013. The next prime is 116650074361087. The reversal of 116650074361040 is 40163470056611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 116650074360982 and 116650074361000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14805183821 + ... + 14805191699.

It is an arithmetic number, because the mean of its divisors is an integer number (942584670720).

Almost surely, 2116650074361040 is an apocalyptic number.

116650074361040 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 116650074361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150813547315200).

116650074361040 is an abundant number, since it is smaller than the sum of its proper divisors (184977020269360).

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

116650074361040 is a wasteful number, since it uses less digits than its factorization.

116650074361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 116650074361040 in words is "one hundred sixteen trillion, six hundred fifty billion, seventy-four million, three hundred sixty-one thousand, forty".