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896466341280 = 25358956337273
BaseRepresentation
bin11010000101110011000…
…11101100110110100000
310011200221021120121202110
431002321203230312200
5104141430340410110
61523455252515320
7121524162113346
oct15027143546640
93150837517673
10896466341280
11316209973794
121258a891bb40
13666c86663a3
1431563d85996
15184bc1c1a20
hexd0b98ecda0

896466341280 has 192 divisors, whose sum is σ = 2860746698880. Its totient is φ = 235945476096.

The previous prime is 896466341261. The next prime is 896466341293. The reversal of 896466341280 is 82143664698.

It is a self number, because there is not a number n which added to its sum of digits gives 896466341280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24032724 + ... + 24069996.

It is an arithmetic number, because the mean of its divisors is an integer number (14899722390).

Almost surely, 2896466341280 is an apocalyptic number.

896466341280 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 896466341280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430373349440).

896466341280 is an abundant number, since it is smaller than the sum of its proper divisors (1964280357600).

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

896466341280 is a wasteful number, since it uses less digits than its factorization.

896466341280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37943 (or 37935 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 896466341280 in words is "eight hundred ninety-six billion, four hundred sixty-six million, three hundred forty-one thousand, two hundred eighty".