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89660947783680 = 21337571317647
BaseRepresentation
bin10100011000101111010000…
…111100010110000000000000
3102202110111120121112010000000
4110120233100330112000000
543223001110113034210
6514405400520000000
724612534604264230
oct2430572074260000
9382414517463000
1089660947783680
1126628aa3627819
12a080a86000000
133b04cb6593620
14181d88220bcc0
15a57448a00ac0
hex518bd0f16000

89660947783680 has 3584 divisors, whose sum is σ = 421195826257920. Its totient is φ = 17777163239424.

The previous prime is 89660947783621. The next prime is 89660947783709. The reversal of 89660947783680 is 8638774906698.

89660947783680 is a `hidden beast` number, since 8 + 9 + 6 + 6 + 0 + 9 + 477 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 89660947783680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138579517117 + ... + 138579517763.

It is an arithmetic number, because the mean of its divisors is an integer number (117521156880).

Almost surely, 289660947783680 is an apocalyptic number.

89660947783680 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 89660947783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210597913128960).

89660947783680 is an abundant number, since it is smaller than the sum of its proper divisors (331534878474240).

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

89660947783680 is an equidigital number, since it uses as much as digits as its factorization.

89660947783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 89660947783680 in words is "eighty-nine trillion, six hundred sixty billion, nine hundred forty-seven million, seven hundred eighty-three thousand, six hundred eighty".