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9966214856 = 23131913138501
BaseRepresentation
bin10010100100000100…
…00101111011001000
3221201120012011121202
421102002011323020
5130402322333411
64324534323332
7501654266663
oct112202057310
927646164552
109966214856
114254739804
121b217b9548
13c2a9bb670
146a788a6da
153d4e3783b
hex252085ec8

9966214856 has 64 divisors (see below), whose sum is σ = 21345508800. Its totient is φ = 4324320000.

The previous prime is 9966214813. The next prime is 9966214889. The reversal of 9966214856 is 6584126699.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239606 + ... + 278106.

It is an arithmetic number, because the mean of its divisors is an integer number (333523575).

Almost surely, 29966214856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966214856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672754400).

9966214856 is an abundant number, since it is smaller than the sum of its proper divisors (11379293944).

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

9966214856 is a wasteful number, since it uses less digits than its factorization.

9966214856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38670 (or 38666 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 56.

The square root of 9966214856 is about 99830.9313589731. The cubic root of 9966214856 is about 2152.0056896290.

The spelling of 9966214856 in words is "nine billion, nine hundred sixty-six million, two hundred fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 131 152 247 262 494 524 988 1048 1703 1976 2489 3406 4978 6812 9956 13624 19912 32357 38501 64714 77002 129428 154004 258856 308008 500513 731519 1001026 1463038 2002052 2926076 4004104 5043631 5852152 9509747 10087262 19019494 20174524 38038988 40349048 65567203 76077976 95828989 131134406 191657978 262268812 383315956 524537624 766631912 1245776857 2491553714 4983107428 9966214856