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897131262720 = 28357311193259
BaseRepresentation
bin11010000111000010011…
…00001011001100000000
310011202122121202010111110
431003201030023030000
5104144311100401340
61524045244243320
7121546514625000
oct15034114131400
93152577663443
10897131262720
11316520234040
12125a53540540
13667a3343024
14315c83cc000
151850a765680
hexd0e130b300

897131262720 has 1152 divisors, whose sum is σ = 3838141440000. Its totient is φ = 176551280640.

The previous prime is 897131262697. The next prime is 897131262737. The reversal of 897131262720 is 27262131798.

It is a happy number.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 897131262720.

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, 275276451 + ... + 275279709.

It is an arithmetic number, because the mean of its divisors is an integer number (3331720000).

Almost surely, 2897131262720 is an apocalyptic number.

897131262720 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 897131262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919070720000).

897131262720 is an abundant number, since it is smaller than the sum of its proper divisors (2941010177280).

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

897131262720 is a wasteful number, since it uses less digits than its factorization.

897131262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 897131262720 in words is "eight hundred ninety-seven billion, one hundred thirty-one million, two hundred sixty-two thousand, seven hundred twenty".