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195811799040 = 2123251113171923
BaseRepresentation
bin1011011001011101001…
…0101111000000000000
3200201102110110000212100
42312113102233000000
511202010310032130
6225542114230400
720101253554404
oct2662722570000
9621373400770
10195811799040
11760527238a0
1231b48b85400
1315607714b60
149697b7b104
155160925c60
hex2d974af000

195811799040 has 2496 divisors, whose sum is σ = 927373224960. Its totient is φ = 37371248640.

The previous prime is 195811799011. The next prime is 195811799089. The reversal of 195811799040 is 40997118591.

195811799040 is a `hidden beast` number, since 1 + 9 + 581 + 17 + 9 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8513556469 + ... + 8513556491.

It is an arithmetic number, because the mean of its divisors is an integer number (371543760).

Almost surely, 2195811799040 is an apocalyptic number.

195811799040 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 195811799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463686612480).

195811799040 is an abundant number, since it is smaller than the sum of its proper divisors (731561425920).

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

195811799040 is a wasteful number, since it uses less digits than its factorization.

195811799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 195811799040 in words is "one hundred ninety-five billion, eight hundred eleven million, seven hundred ninety-nine thousand, forty".