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897334221839328 = 2533713219137367919
BaseRepresentation
bin1100110000000111101110011…
…1100010011001101111100000
311100200012022110202221002001000
43030001323213202121233200
51420103410441242324303
612500245352311112000
7360003154350405030
oct31401734742315740
94320168422832030
10897334221839328
1123aa11340856429
1284785473372600
132c69133c159900
1411b832cad378c0
156db1ac8065da3
hex3301ee7899be0

897334221839328 has 2304 divisors, whose sum is σ = 3447357677568000. Its totient is φ = 221719309074432.

The previous prime is 897334221839327. The next prime is 897334221839353. The reversal of 897334221839328 is 823938122433798.

897334221839328 is a `hidden beast` number, since 8 + 9 + 7 + 3 + 3 + 4 + 221 + 8 + 393 + 2 + 8 = 666.

897334221839328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897334221839327) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 976424615253 + ... + 976424616171.

It is an arithmetic number, because the mean of its divisors is an integer number (1496248992000).

Almost surely, 2897334221839328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897334221839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723678838784000).

897334221839328 is an abundant number, since it is smaller than the sum of its proper divisors (2550023455728672).

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

897334221839328 is a wasteful number, since it uses less digits than its factorization.

897334221839328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1467 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 897334221839328 in words is "eight hundred ninety-seven trillion, three hundred thirty-four billion, two hundred twenty-one million, eight hundred thirty-nine thousand, three hundred twenty-eight".