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13483302144 = 283132371827
BaseRepresentation
bin11001000111010101…
…01101110100000000
31021210200012201100220
430203222231310000
5210103211132034
610105533543040
7655062114534
oct144352556400
937720181326
1013483302144
115799a77514
122743644a80
13136b55b6c0
1491ca15bc4
1553dabc749
hex323aadd00

13483302144 has 288 divisors, whose sum is σ = 40943314944. Its totient is φ = 3907706880.

The previous prime is 13483302097. The next prime is 13483302149. The reversal of 13483302144 is 44120338431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483302149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16303459 + ... + 16304285.

It is an arithmetic number, because the mean of its divisors is an integer number (142164288).

Almost surely, 213483302144 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 13483302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471657472).

13483302144 is an abundant number, since it is smaller than the sum of its proper divisors (27460012800).

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

13483302144 is a wasteful number, since it uses less digits than its factorization.

13483302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13483302144 in words is "thirteen billion, four hundred eighty-three million, three hundred two thousand, one hundred forty-four".