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116842659840 = 21533561433
BaseRepresentation
bin110110011010001011…
…1011000000000000000
3102011120222002010001000
41230310113120000000
53403243210103330
6125402103412000
711304320136024
oct1546427300000
9364528063030
10116842659840
11456096a9795
121a78a454000
13b031033c5a
145925ca4384
15308cbd2560
hex1b345d8000

116842659840 has 512 divisors, whose sum is σ = 423219787200. Its totient is φ = 30576476160.

The previous prime is 116842659839. The next prime is 116842659841. The reversal of 116842659840 is 48956248611.

116842659840 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 4 + 2 + 6 + 598 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (116842659839) and next prime (116842659841).

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116842659841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269844264 + ... + 269844696.

Almost surely, 2116842659840 is an apocalyptic number.

116842659840 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 116842659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211609893600).

116842659840 is an abundant number, since it is smaller than the sum of its proper divisors (306377127360).

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

116842659840 is an frugal number, since it uses more digits than its factorization.

116842659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 116842659840 in words is "one hundred sixteen billion, eight hundred forty-two million, six hundred fifty-nine thousand, eight hundred forty".