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116265240000 = 26335472133
BaseRepresentation
bin110110001000111110…
…0101100010111000000
3102010002201120010221000
41230101330230113000
53401102400140000
6125224515332000
711254106143200
oct1542174542700
9363081503830
10116265240000
1145342773708
121a648bb1000
13ac6b513000
1458ad318400
153057175000
hex1b11f2c5c0

116265240000 has 1680 divisors, whose sum is σ = 538228336800. Its totient is φ = 24530688000.

The previous prime is 116265239999. The next prime is 116265240023. The reversal of 116265240000 is 42562611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

116265240000 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 652 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 8943479994 + ... + 8943480006.

It is an arithmetic number, because the mean of its divisors is an integer number (320374010).

Almost surely, 2116265240000 is an apocalyptic number.

116265240000 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 116265240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269114168400).

116265240000 is an abundant number, since it is smaller than the sum of its proper divisors (421963096800).

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

116265240000 is an frugal number, since it uses more digits than its factorization.

116265240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 116265240000 in words is "one hundred sixteen billion, two hundred sixty-five million, two hundred forty thousand".