Search a number
-
+
116501898240 = 2103657413
BaseRepresentation
bin110110010000000001…
…1011110010000000000
3102010201012212122000000
41230200003132100000
53402043441220430
6125304212000000
711263011540000
oct1544003362000
9363635778000
10116501898240
1145454314532
121a6b4300000
13aca8563a80
1458d2920000
15306cd20e60
hex1b200de400

116501898240 has 1540 divisors, whose sum is σ = 526417598364. Its totient is φ = 24580620288.

The previous prime is 116501898223. The next prime is 116501898269. The reversal of 116501898240 is 42898105611.

It is a happy number.

116501898240 is a `hidden beast` number, since 1 + 16 + 501 + 8 + 98 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28677390336 + 87824507904 = 169344^2 + 296352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 8961684474 + ... + 8961684486.

Almost surely, 2116501898240 is an apocalyptic number.

116501898240 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 116501898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208799182).

116501898240 is an abundant number, since it is smaller than the sum of its proper divisors (409915700124).

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

116501898240 is an frugal number, since it uses more digits than its factorization.

116501898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 116501898240 in words is "one hundred sixteen billion, five hundred one million, eight hundred ninety-eight thousand, two hundred forty".