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896530618368 = 211327211314171
BaseRepresentation
bin11010000101111010110…
…00111001100000000000
310011201002202112020100100
431002331120321200000
5104142043314241433
61523505510322400
7121525602343200
oct15027530714000
93151082466310
10896530618368
11316242186050
12125906359400
1366708a80078
143156c718400
15184c2b6bb13
hexd0bd639800

896530618368 has 1728 divisors, whose sum is σ = 3523588024320. Its totient is φ = 216760320000.

The previous prime is 896530618367. The next prime is 896530618381. The reversal of 896530618368 is 863816035698.

896530618368 is a `hidden beast` number, since 8 + 9 + 6 + 5 + 3 + 0 + 618 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896530618367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12627191773 + ... + 12627191843.

It is an arithmetic number, because the mean of its divisors is an integer number (2039113440).

Almost surely, 2896530618368 is an apocalyptic number.

896530618368 is a gapful number since it is divisible by the number (88) 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 896530618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761794012160).

896530618368 is an abundant number, since it is smaller than the sum of its proper divisors (2627057405952).

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

896530618368 is a wasteful number, since it uses less digits than its factorization.

896530618368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 896530618368 in words is "eight hundred ninety-six billion, five hundred thirty million, six hundred eighteen thousand, three hundred sixty-eight".