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13202920944 = 243519296163
BaseRepresentation
bin11000100101111010…
…01001010111110000
31021002010121212200000
430102331021113300
5204014421432234
610022040230000
7645115655613
oct142275112760
937063555600
1013202920944
115665782a14
12268576b300
13132543c675
148d36ac17a
15524186899
hex312f495f0

13202920944 has 240 divisors, whose sum is σ = 41732745600. Its totient is φ = 4024919808.

The previous prime is 13202920921. The next prime is 13202920961. The reversal of 13202920944 is 44902920231.

13202920944 is a `hidden beast` number, since 1 + 320 + 292 + 0 + 9 + 44 = 666.

13202920944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132029209442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13202920899 and 13202920908.

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 47 ways as a sum of consecutive naturals, for example, 2139207 + ... + 2145369.

It is an arithmetic number, because the mean of its divisors is an integer number (173886440).

Almost surely, 213202920944 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 13202920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866372800).

13202920944 is an abundant number, since it is smaller than the sum of its proper divisors (28529824656).

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

13202920944 is a wasteful number, since it uses less digits than its factorization.

13202920944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13202920944 in words is "thirteen billion, two hundred two million, nine hundred twenty thousand, nine hundred forty-four".