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195019050240 = 28325713118461
BaseRepresentation
bin1011010110100000001…
…0101000110100000000
3200122101012202012221200
42311220002220310000
511143344334101430
6225331315021200
720042516401410
oct2655002506400
9618335665850
10195019050240
11757861959a3
123196759a800
131550c400621
14962077c640
155116032460
hex2d680a8d00

195019050240 has 432 divisors, whose sum is σ = 777066466176. Its totient is φ = 44233113600.

The previous prime is 195019050179. The next prime is 195019050253. The reversal of 195019050240 is 42050910591.

195019050240 is a `hidden beast` number, since 19 + 50 + 1 + 90 + 502 + 4 + 0 = 666.

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 = 195019050195 and 195019050204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10554610 + ... + 10573070.

It is an arithmetic number, because the mean of its divisors is an integer number (1798764968).

Almost surely, 2195019050240 is an apocalyptic number.

195019050240 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 195019050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388533233088).

195019050240 is an abundant number, since it is smaller than the sum of its proper divisors (582047415936).

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

195019050240 is a wasteful number, since it uses less digits than its factorization.

195019050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18626 (or 18609 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 195019050240 in words is "one hundred ninety-five billion, nineteen million, fifty thousand, two hundred forty".