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195942443040 = 253351913118223
BaseRepresentation
bin1011011001111100010…
…1000110100000100000
3200201202120021102202000
42312133011012200200
511202242231134130
6230003102324000
720104431166611
oct2663705064040
9621676242660
10195942443040
117610a445643
1231b84889600
13156287c77b6
1496ab267c08
15516c130260
hex2d9f146820

195942443040 has 384 divisors, whose sum is σ = 727443763200. Its totient is φ = 49120680960.

The previous prime is 195942443029. The next prime is 195942443069. The reversal of 195942443040 is 40344249591.

195942443040 is a `hidden beast` number, since 1 + 9 + 594 + 24 + 4 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10743369 + ... + 10761591.

It is an arithmetic number, because the mean of its divisors is an integer number (1894384800).

Almost surely, 2195942443040 is an apocalyptic number.

195942443040 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 195942443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363721881600).

195942443040 is an abundant number, since it is smaller than the sum of its proper divisors (531501320160).

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

195942443040 is a wasteful number, since it uses less digits than its factorization.

195942443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18397 (or 18383 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 195942443040 in words is "one hundred ninety-five billion, nine hundred forty-two million, four hundred forty-three thousand, forty".