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13321396226880 = 263357287735879
BaseRepresentation
bin1100000111011010000100…
…0101110000101101000000
31202011111212000012111111000
43001312201011300231000
53221224204413230010
644155433121052000
72543303421430200
oct301664105605500
952144760174430
1013321396226880
114276632977a25
1215b1938787000
1375828251bbb1
14340a8aa5c400
151817c045d7c0
hexc1da1170b40

13321396226880 has 672 divisors, whose sum is σ = 54731426630400. Its totient is φ = 3041333858304.

The previous prime is 13321396226867. The next prime is 13321396226947. The reversal of 13321396226880 is 8862269312331.

13321396226880 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 3 + 9 + 622 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 371268781 + ... + 371304659.

Almost surely, 213321396226880 is an apocalyptic number.

13321396226880 is a gapful number since it is divisible by the number (10) 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 13321396226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27365713315200).

13321396226880 is an abundant number, since it is smaller than the sum of its proper divisors (41410030403520).

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

13321396226880 is a wasteful number, since it uses less digits than its factorization.

13321396226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36796 (or 36773 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 13321396226880 in words is "thirteen trillion, three hundred twenty-one billion, three hundred ninety-six million, two hundred twenty-six thousand, eight hundred eighty".