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195032570040 = 2333571117137957
BaseRepresentation
bin1011010110100011011…
…0001101100010111000
3200122102011012002122000
42311220312031202320
511143411314220130
6225332520501000
720043042330630
oct2655066154270
9618364162560
10195032570040
117579288a590
123197001a760
13155121552c9
14962249b6c0
155117303260
hex2d68d8d8b8

195032570040 has 512 divisors, whose sum is σ = 858209126400. Its totient is φ = 38142074880.

The previous prime is 195032570021. The next prime is 195032570063. The reversal of 195032570040 is 40075230591.

195032570040 is a `hidden beast` number, since 1 + 9 + 50 + 32 + 570 + 0 + 4 + 0 = 666.

195032570040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195032569977 and 195032570004.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1344742 + ... + 1482698.

It is an arithmetic number, because the mean of its divisors is an integer number (1676189700).

Almost surely, 2195032570040 is an apocalyptic number.

195032570040 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 195032570040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429104563200).

195032570040 is an abundant number, since it is smaller than the sum of its proper divisors (663176556360).

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

195032570040 is a wasteful number, since it uses less digits than its factorization.

195032570040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138012 (or 138002 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 195032570040 in words is "one hundred ninety-five billion, thirty-two million, five hundred seventy thousand, forty".