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897817680240 = 2435131771419569
BaseRepresentation
bin11010001000010100001…
…10101001100101110000
310011211102110100202022120
431010022012221211300
5104202212311231430
61524241324434240
7121602521236155
oct15041206514560
93154373322276
10897817680240
11316842746748
121260053a8980
1366882608040
143165162c22c
151854ab53610
hexd10a1a9970

897817680240 has 640 divisors, whose sum is σ = 3231693158400. Its totient is φ = 204222627840.

The previous prime is 897817680157. The next prime is 897817680251. The reversal of 897817680240 is 42086718798.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1577886676 + ... + 1577887244.

It is an arithmetic number, because the mean of its divisors is an integer number (5049520560).

Almost surely, 2897817680240 is an apocalyptic number.

897817680240 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 897817680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615846579200).

897817680240 is an abundant number, since it is smaller than the sum of its proper divisors (2333875478160).

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

897817680240 is a wasteful number, since it uses less digits than its factorization.

897817680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 897817680240 in words is "eight hundred ninety-seven billion, eight hundred seventeen million, six hundred eighty thousand, two hundred forty".