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896666394624 = 213372111341127
BaseRepresentation
bin11010000110001010111…
…10110110000000000000
310011201110020000101100120
431003011132312000000
5104142333044111444
61523531200420240
7121532141412300
oct15030536660000
93151406011316
10896666394624
11316301892830
12125943917680
136672ac3ba50
143158277d600
15184cea3bb19
hexd0c57b6000

896666394624 has 1344 divisors, whose sum is σ = 3373625106432. Its totient is φ = 208089907200.

The previous prime is 896666394623. The next prime is 896666394647. The reversal of 896666394624 is 426493666698.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8966663946242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896666394623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7060365249 + ... + 7060365375.

It is an arithmetic number, because the mean of its divisors is an integer number (2510137728).

Almost surely, 2896666394624 is an apocalyptic number.

896666394624 is a gapful number since it is divisible by the number (84) 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 896666394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686812553216).

896666394624 is an abundant number, since it is smaller than the sum of its proper divisors (2476958711808).

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

896666394624 is a wasteful number, since it uses less digits than its factorization.

896666394624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 69.

The spelling of 896666394624 in words is "eight hundred ninety-six billion, six hundred sixty-six million, three hundred ninety-four thousand, six hundred twenty-four".