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13735223960 = 235343380599
BaseRepresentation
bin11001100101010111…
…01110001010011000
31022110020020200010112
430302223232022120
5211112204131320
610150533303452
7664241322503
oct146253561230
938406220115
1013735223960
1159091a3067
1227b3a94b88
1313ab7c4a73
1494427213a
15555c80ec5
hex332aee298

13735223960 has 16 divisors (see below), whose sum is σ = 30904254000. Its totient is φ = 5494089568.

The previous prime is 13735223941. The next prime is 13735223963. The reversal of 13735223960 is 6932253731.

13735223960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735223963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 171690260 + ... + 171690339.

It is an arithmetic number, because the mean of its divisors is an integer number (1931515875).

Almost surely, 213735223960 is an apocalyptic number.

13735223960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735223960 is an abundant number, since it is smaller than the sum of its proper divisors (17169030040).

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

13735223960 is a wasteful number, since it uses less digits than its factorization.

13735223960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343380610 (or 343380606 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The spelling of 13735223960 in words is "thirteen billion, seven hundred thirty-five million, two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 343380599 686761198 1373522396 1716902995 2747044792 3433805990 6867611980 13735223960