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116469239040 = 283657111621
BaseRepresentation
bin110110001111000011…
…0111000110100000000
3102010121221102101000000
41230132012320310000
53402012111122130
6125301044000000
711262134124450
oct1543606706400
9363557371000
10116469239040
1145437938160
121a6a5390000
13aca186a5bb
1458cc45bd60
15306a01e260
hex1b1e1b8d00

116469239040 has 1008 divisors, whose sum is σ = 521812400256. Its totient is φ = 24186470400.

The previous prime is 116469238999. The next prime is 116469239077. The reversal of 116469239040 is 40932964611.

116469239040 is a `hidden beast` number, since 1 + 164 + 69 + 2 + 390 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×1164692390403 (a number of 34 digits) contains 333 as substring.

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 111 ways as a sum of consecutive naturals, for example, 71849430 + ... + 71851050.

It is an arithmetic number, because the mean of its divisors is an integer number (517671032).

Almost surely, 2116469239040 is an apocalyptic number.

116469239040 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 116469239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260906200128).

116469239040 is an abundant number, since it is smaller than the sum of its proper divisors (405343161216).

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

116469239040 is an equidigital number, since it uses as much as digits as its factorization.

116469239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 116469239040 in words is "one hundred sixteen billion, four hundred sixty-nine million, two hundred thirty-nine thousand, forty".