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13603065426 = 2337315122853
BaseRepresentation
bin11001010101100111…
…00100111001010010
31022010000120022201000
430222303210321102
5210324341043201
610125452522430
7661045101606
oct145263447122
938100508630
1013603065426
115850637435
122777780416
13138a301952
149308ad506
15549377d86
hex32ace4e52

13603065426 has 64 divisors (see below), whose sum is σ = 30847415040. Its totient is φ = 4442428800.

The previous prime is 13603065419. The next prime is 13603065431. The reversal of 13603065426 is 62456030631.

13603065426 is a `hidden beast` number, since 1 + 3 + 603 + 0 + 6 + 5 + 42 + 6 = 666.

13603065426 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136030654262 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 583816 + ... + 606668.

It is an arithmetic number, because the mean of its divisors is an integer number (481990860).

Almost surely, 213603065426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13603065426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423707520).

13603065426 is an abundant number, since it is smaller than the sum of its proper divisors (17244349614).

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

13603065426 is a wasteful number, since it uses less digits than its factorization.

13603065426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23088 (or 23082 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13603065426 in words is "thirteen billion, six hundred three million, sixty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 151 219 302 438 453 657 906 1314 1359 1971 2718 3942 4077 8154 11023 22046 22853 33069 45706 66138 68559 99207 137118 198414 205677 297621 411354 595242 617031 1234062 1668269 3336538 3450803 5004807 6901606 10009614 10352409 15014421 20704818 30028842 31057227 45043263 62114454 90086526 93171681 186343362 251908619 503817238 755725857 1511451714 2267177571 4534355142 6801532713 13603065426