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194096424960 = 2113115107
BaseRepresentation
bin1011010011000100001…
…1000110100000000000
3200112222220200000000000
42310301003012200000
511140002141044320
6225100000000000
720010614250654
oct2646103064000
9615886600000
10194096424960
117535240a969
123174a600000
13153c32148c9
149574012a64
1550b0036c90
hex2d310c6800

194096424960 has 576 divisors, whose sum is σ = 705103963200. Its totient is φ = 51275317248.

The previous prime is 194096424917. The next prime is 194096424979. The reversal of 194096424960 is 69424690491.

It is a happy number.

194096424960 is a `hidden beast` number, since 1 + 9 + 40 + 96 + 424 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1940964249602 (a number of 23 digits) contains 22 as substring.

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 = 194096424897 and 194096424906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813985227 + ... + 1813985333.

It is an arithmetic number, because the mean of its divisors is an integer number (1224138825).

Almost surely, 2194096424960 is an apocalyptic number.

194096424960 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 194096424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352551981600).

194096424960 is an abundant number, since it is smaller than the sum of its proper divisors (511007538240).

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

194096424960 is an frugal number, since it uses more digits than its factorization.

194096424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 194096424960 in words is "one hundred ninety-four billion, ninety-six million, four hundred twenty-four thousand, nine hundred sixty".