Search a number
-
+
297825073920 = 28325114015861
BaseRepresentation
bin1000101010101111100…
…00011111101100000000
31001110201221102100001100
410111113300133230000
514334421204331140
6344452520534400
730342245234103
oct4252760375400
91043657370040
10297825073920
11105341543130
1249879021400
1322114368cba
14105b435073a
157b31796530
hex4557c1fb00

297825073920 has 432 divisors, whose sum is σ = 1127116003104. Its totient is φ = 72007680000.

The previous prime is 297825073907. The next prime is 297825073963. The reversal of 297825073920 is 29370528792.

297825073920 is a `hidden beast` number, since 2 + 9 + 7 + 82 + 507 + 39 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50811790 + ... + 50817650.

It is an arithmetic number, because the mean of its divisors is an integer number (2609064822).

Almost surely, 2297825073920 is an apocalyptic number.

297825073920 is a gapful number since it is divisible by the number (20) 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 297825073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563558001552).

297825073920 is an abundant number, since it is smaller than the sum of its proper divisors (829290929184).

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

297825073920 is a wasteful number, since it uses less digits than its factorization.

297825073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 297825073920 in words is "two hundred ninety-seven billion, eight hundred twenty-five million, seventy-three thousand, nine hundred twenty".