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194168668560 = 2435809036119
BaseRepresentation
bin1011010011010101011…
…0101100000110010000
3200120011221121100120220
42310311112230012100
511140124134343220
6225111100233040
720012452310466
oct2646526540620
9616157540526
10194168668560
117538a173619
123176a83b780
131540518a6b9
14957d85a836
1550b6557540
hex2d355ac190

194168668560 has 40 divisors (see below), whose sum is σ = 601922873280. Its totient is φ = 51778311552.

The previous prime is 194168668553. The next prime is 194168668583. The reversal of 194168668560 is 65866861491.

194168668560 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 (40).

It is a super-3 number, since 3×1941686685603 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 194168668494 and 194168668503.

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 7 ways as a sum of consecutive naturals, for example, 404517820 + ... + 404518299.

It is an arithmetic number, because the mean of its divisors is an integer number (15048071832).

Almost surely, 2194168668560 is an apocalyptic number.

194168668560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

194168668560 is an abundant number, since it is smaller than the sum of its proper divisors (407754204720).

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

194168668560 is a wasteful number, since it uses less digits than its factorization.

194168668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809036135 (or 809036129 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 194168668560 in words is "one hundred ninety-four billion, one hundred sixty-eight million, six hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 809036119 1618072238 2427108357 3236144476 4045180595 4854216714 6472288952 8090361190 9708433428 12135541785 12944577904 16180722380 19416866856 24271083570 32361444760 38833733712 48542167140 64722889520 97084334280 194168668560