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897229872000 = 27395371137
BaseRepresentation
bin11010000111001110001…
…00010101101110000000
310011202220111022000000000
431003213010111232000
5104200011321401000
61524103130000000
7121552123035420
oct15034704255600
93152814260000
10897229872000
11316570965710
12125a80576000
13667ba8ba807
14315d753a480
1518514243000
hexd0e7115b80

897229872000 has 2560 divisors, whose sum is σ = 4284447298560. Its totient is φ = 181398528000.

The previous prime is 897229871981. The next prime is 897229872023. The reversal of 897229872000 is 278922798.

897229872000 is a `hidden beast` number, since 89 + 72 + 298 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24249455982 + ... + 24249456018.

It is an arithmetic number, because the mean of its divisors is an integer number (1673612226).

Almost surely, 2897229872000 is an apocalyptic number.

897229872000 is a gapful number since it is divisible by the number (80) 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 897229872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142223649280).

897229872000 is an abundant number, since it is smaller than the sum of its proper divisors (3387217426560).

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

897229872000 is an frugal number, since it uses more digits than its factorization.

897229872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 897229872000 in words is "eight hundred ninety-seven billion, two hundred twenty-nine million, eight hundred seventy-two thousand".