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194088974040 = 2333513192413019
BaseRepresentation
bin1011010011000010011…
…0101011011011011000
3200112222101122110021000
42310300212223123120
511134443234132130
6225055132145000
720010464026113
oct2646046533330
9615871573230
10194088974040
1175349190985
1231748008160
13153c1806390
14957303357a
1550ae564260
hex2d309ab6d8

194088974040 has 512 divisors, whose sum is σ = 736686720000. Its totient is φ = 45058498560.

The previous prime is 194088974029. The next prime is 194088974071. The reversal of 194088974040 is 40479880491.

194088974040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64287651 + ... + 64290669.

It is an arithmetic number, because the mean of its divisors is an integer number (1438841250).

Almost surely, 2194088974040 is an apocalyptic number.

194088974040 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 194088974040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368343360000).

194088974040 is an abundant number, since it is smaller than the sum of its proper divisors (542597745960).

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

194088974040 is a wasteful number, since it uses less digits than its factorization.

194088974040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 194088974040 in words is "one hundred ninety-four billion, eighty-eight million, nine hundred seventy-four thousand, forty".