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194201369026560 = 213345724192851
BaseRepresentation
bin101100001010000000000111…
…100111011010000000000000
3221110121110200022102221120000
4230022000013213122000000
5200423243400432322220
61525010513255320000
755622404651301400
oct5412000747320000
9843543608387500
10194201369026560
1156973379aa6005
1219945639680000
138449158a7394c
1435d5579a84800
15176b953853390
hexb0a0079da000

194201369026560 has 1680 divisors, whose sum is σ = 812089170779040. Its totient is φ = 44267411865600.

The previous prime is 194201369026541. The next prime is 194201369026601. The reversal of 194201369026560 is 65620963102491.

194201369026560 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 0 + 13 + 69 + 0 + 2 + 6 + 560 = 666.

194201369026560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 194201369026497 and 194201369026506.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68116929135 + ... + 68116931985.

It is an arithmetic number, because the mean of its divisors is an integer number (483386411178).

Almost surely, 2194201369026560 is an apocalyptic number.

194201369026560 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 194201369026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406044585389520).

194201369026560 is an abundant number, since it is smaller than the sum of its proper divisors (617887801752480).

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

194201369026560 is an equidigital number, since it uses as much as digits as its factorization.

194201369026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 194201369026560 in words is "one hundred ninety-four trillion, two hundred one billion, three hundred sixty-nine million, twenty-six thousand, five hundred sixty".