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897076304640 = 28335145917791
BaseRepresentation
bin11010000110111011110…
…10100001101100000000
310011202111210022222012000
431003131322201230000
5104144203013222030
61524040002304000
7121545246530235
oct15033572415400
93152453288160
10897076304640
113164a220723a
12125a39058000
1366794b3cc59
14315c0da378c
1518505a0b860
hexd0ddea1b00

897076304640 has 288 divisors, whose sum is σ = 3185735884800. Its totient is φ = 239042949120.

The previous prime is 897076304627. The next prime is 897076304651. The reversal of 897076304640 is 46403670798.

It is a happy number.

897076304640 is a `hidden beast` number, since 89 + 7 + 0 + 76 + 30 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50414145 + ... + 50431935.

Almost surely, 2897076304640 is an apocalyptic number.

897076304640 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 897076304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592867942400).

897076304640 is an abundant number, since it is smaller than the sum of its proper divisors (2288659580160).

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

897076304640 is a wasteful number, since it uses less digits than its factorization.

897076304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19280 (or 19260 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 897076304640 in words is "eight hundred ninety-seven billion, seventy-six million, three hundred four thousand, six hundred forty".