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13322890885824 = 26321317503208073
BaseRepresentation
bin1100000111011111101000…
…1011011011101011000000
31202011122201011200001002200
43001313322023123223000
53221240240031321244
644200241312513200
72543355441011352
oct301677213335300
952148634601080
1013322890885824
11427722a63a353
1215b209524b800
13758460091080
14340b8d3710d2
1518185b7a0669
hexc1dfa2dbac0

13322890885824 has 336 divisors, whose sum is σ = 43631080339392. Its totient is φ = 3850523836416.

The previous prime is 13322890885817. The next prime is 13322890885853. The reversal of 13322890885824 is 42858809822331.

It is a happy number.

13322890885824 is a `hidden beast` number, since 13 + 32 + 2 + 8 + 9 + 0 + 8 + 8 + 582 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63925852 + ... + 64133924.

It is an arithmetic number, because the mean of its divisors is an integer number (129854405772).

Almost surely, 213322890885824 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 13322890885824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21815540169696).

13322890885824 is an abundant number, since it is smaller than the sum of its proper divisors (30308189453568).

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

13322890885824 is a wasteful number, since it uses less digits than its factorization.

13322890885824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208624 (or 208611 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 13322890885824 in words is "thirteen trillion, three hundred twenty-two billion, eight hundred ninety million, eight hundred eighty-five thousand, eight hundred twenty-four".