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195913923660 = 2232573131929443
BaseRepresentation
bin1011011001110101100…
…0010011110001001100
3200201200120121111111200
42312131120103301030
511202212431024120
6230000203145500
720103633606000
oct2663530236114
9621616544450
10195913923660
11760a5336604
1231b77215290
1315622920720
1496a7562700
155169899e90
hex2d9d613c4c

195913923660 has 1152 divisors, whose sum is σ = 814544640000. Its totient is φ = 37724424192.

The previous prime is 195913923581. The next prime is 195913923691. The reversal of 195913923660 is 66329319591.

195913923660 is a `hidden beast` number, since 19 + 591 + 3 + 9 + 2 + 36 + 6 + 0 = 666.

195913923660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 195913923597 and 195913923606.

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 383 ways as a sum of consecutive naturals, for example, 442243399 + ... + 442243841.

It is an arithmetic number, because the mean of its divisors is an integer number (707070000).

Almost surely, 2195913923660 is an apocalyptic number.

195913923660 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 195913923660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320000).

195913923660 is an abundant number, since it is smaller than the sum of its proper divisors (618630716340).

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

195913923660 is a wasteful number, since it uses less digits than its factorization.

195913923660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 195913923660 in words is "one hundred ninety-five billion, nine hundred thirteen million, nine hundred twenty-three thousand, six hundred sixty".