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13331794944 = 2103131773269
BaseRepresentation
bin11000110101010001…
…10000110000000000
31021102010010100120010
430122220300300000
5204300414414234
610042522344520
7651242246556
oct143250606000
937363110503
1013331794944
1157214a5956
12270095b140
131346052780
14906857bd6
155306416e9
hex31aa30c00

13331794944 has 352 divisors, whose sum is σ = 41226252480. Its totient is φ = 3793747968.

The previous prime is 13331794933. The next prime is 13331794967. The reversal of 13331794944 is 44949713331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13331794893 and 13331794902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49560442 + ... + 49560710.

Almost surely, 213331794944 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 13331794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613126240).

13331794944 is an abundant number, since it is smaller than the sum of its proper divisors (27894457536).

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

13331794944 is a wasteful number, since it uses less digits than its factorization.

13331794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The spelling of 13331794944 in words is "thirteen billion, three hundred thirty-one million, seven hundred ninety-four thousand, nine hundred forty-four".