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897248461824 = 21034112132232
BaseRepresentation
bin11010000111010000010…
…11010000010000000000
310011202221210021110110000
431003220023100100000
5104200031101234244
61524105032240000
7121552440042231
oct15035013202000
93152853243400
10897248461824
11316580402500
12125a86840000
13667c16c9100
14315d9bb9088
1518515bb6169
hexd0e82d0400

897248461824 has 1485 divisors, whose sum is σ = 3333735002829. Its totient is φ = 240066478080.

The previous prime is 897248461763. The next prime is 897248461853. The reversal of 897248461824 is 428164842798.

The square root of 897248461824 is 947232.

It is a perfect power (a square), and thus also a powerful number.

897248461824 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 4 + 8 + 4 + 618 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132729062400 + 764519399424 = 364320^2 + 874368^2 .

Its product of digits (49545216) is a multiple of the sum of its prime factors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 39010802677 + ... + 39010802699.

Almost surely, 2897248461824 is an apocalyptic number.

897248461824 is the 947232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897248461824

897248461824 is an abundant number, since it is smaller than the sum of its proper divisors (2436486541005).

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

897248461824 is a wasteful number, since it uses less digits than its factorization.

897248461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 52 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 897248461824 in words is "eight hundred ninety-seven billion, two hundred forty-eight million, four hundred sixty-one thousand, eight hundred twenty-four".