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397172886495840 = 25325721319314715641
BaseRepresentation
bin101101001001110100000010…
…0110100000110001001100000
31221002021100122100102210201100
41122103220010310012021200
5404024240032420331330
63524414412153034400
7146441536244431200
oct13223500464061140
91832240570383640
10397172886495840
11105608091173144
12386669240b5a00
131408031c998140
1470113ad8c6400
1530db5a1858060
hex1693a04d06260

397172886495840 has 3456 divisors, whose sum is σ = 1884306457313280. Its totient is φ = 75188271513600.

The previous prime is 397172886495817. The next prime is 397172886495907. The reversal of 397172886495840 is 48594688271793.

397172886495840 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 7 + 2 + 8 + 86 + 495 + 8 + 40 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 397172886495840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 25393054420 + ... + 25393070060.

It is an arithmetic number, because the mean of its divisors is an integer number (545227562880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅397172886495840 = 794345772991680, but 3⋅397172886495840 = 1191518659487520 is not.

Almost surely, 2397172886495840 is an apocalyptic number.

397172886495840 is a gapful number since it is divisible by the number (30) 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 397172886495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942153228656640).

397172886495840 is an abundant number, since it is smaller than the sum of its proper divisors (1487133570817440).

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

397172886495840 is a wasteful number, since it uses less digits than its factorization.

397172886495840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15786 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 397172886495840 in words is "three hundred ninety-seven trillion, one hundred seventy-two billion, eight hundred eighty-six million, four hundred ninety-five thousand, eight hundred forty".