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897474090240 = 283457213107127
BaseRepresentation
bin11010000111101011001…
…11111101010100000000
310011210112111211120110000
431003311213331110000
5104201011331341430
61524143252240000
7121561146620100
oct15036547752400
93153474746400
10897474090240
113166867aa472
12125b2a310000
1366829387650
143161bb4d200
151852a8d3e60
hexd0f59fd500

897474090240 has 2160 divisors, whose sum is σ = 4092551350272. Its totient is φ = 186110410752.

The previous prime is 897474090239. The next prime is 897474090311. The reversal of 897474090240 is 42090474798.

It is a happy number.

897474090240 is a `hidden beast` number, since 89 + 7 + 474 + 0 + 90 + 2 + 4 + 0 = 666.

897474090240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7066725057 + ... + 7066725183.

Almost surely, 2897474090240 is an apocalyptic number.

897474090240 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 897474090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046275675136).

897474090240 is an abundant number, since it is smaller than the sum of its proper divisors (3195077260032).

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

897474090240 is a wasteful number, since it uses less digits than its factorization.

897474090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 897474090240 in words is "eight hundred ninety-seven billion, four hundred seventy-four million, ninety thousand, two hundred forty".