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13022342793664 = 264371197373907
BaseRepresentation
bin1011110110000000000000…
…0111011100100111000000
31201002220221110102001020221
42331200000013130213000
53201324224223344124
643410214240112424
72512555536251461
oct275400007344700
951086843361227
1013022342793664
114170821019326
121563998305714
1373600383c499
143303db518d68
15178b1ae28ce4
hexbd8001dc9c0

13022342793664 has 224 divisors, whose sum is σ = 27052757208576. Its totient is φ = 6214762229760.

The previous prime is 13022342793601. The next prime is 13022342793727. The reversal of 13022342793664 is 46639724322031.

It is an interprime number because it is at equal distance from previous prime (13022342793601) and next prime (13022342793727).

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 31 ways as a sum of consecutive naturals, for example, 14357599099 + ... + 14357600005.

Almost surely, 213022342793664 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 13022342793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526378604288).

13022342793664 is an abundant number, since it is smaller than the sum of its proper divisors (14030414414912).

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

13022342793664 is a wasteful number, since it uses less digits than its factorization.

13022342793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 52.

The spelling of 13022342793664 in words is "thirteen trillion, twenty-two billion, three hundred forty-two million, seven hundred ninety-three thousand, six hundred sixty-four".