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13323934680 = 23357191674999
BaseRepresentation
bin11000110100010101…
…10001101111011000
31021101120100000022020
430122022301233120
5204241411402210
610042042054440
7651115401420
oct143212615730
937346300266
1013323934680
115718017371
1226ba1aa420
13134452cb24
149057ad480
1552eadc770
hex31a2b1bd8

13323934680 has 256 divisors, whose sum is σ = 48384000000. Its totient is φ = 2867332608.

The previous prime is 13323934651. The next prime is 13323934693. The reversal of 13323934680 is 8643932331.

13323934680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 2662821 + ... + 2667819.

It is an arithmetic number, because the mean of its divisors is an integer number (189000000).

Almost surely, 213323934680 is an apocalyptic number.

13323934680 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 13323934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000000).

13323934680 is an abundant number, since it is smaller than the sum of its proper divisors (35060065320).

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

13323934680 is a wasteful number, since it uses less digits than its factorization.

13323934680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 13323934680 in words is "thirteen billion, three hundred twenty-three million, nine hundred thirty-four thousand, six hundred eighty".