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13017494640 = 243554239561
BaseRepresentation
bin11000001111110011…
…10011010001110000
31020121012201020121010
430013321303101300
5203124434312030
65551414030520
7640404610263
oct140771632160
936535636533
1013017494640
115580044437
122633648440
1312c5bb8967
148b6c00cda
15512c5a6b0
hex307e73470

13017494640 has 40 divisors (see below), whose sum is σ = 40354234128. Its totient is φ = 3471331840.

The previous prime is 13017494639. The next prime is 13017494701. The reversal of 13017494640 is 4649471031.

13017494640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 27119541 + ... + 27120020.

Almost surely, 213017494640 is an apocalyptic number.

13017494640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13017494640 is an abundant number, since it is smaller than the sum of its proper divisors (27336739488).

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

13017494640 is a wasteful number, since it uses less digits than its factorization.

13017494640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54239577 (or 54239571 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13017494640 in words is "thirteen billion, seventeen million, four hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54239561 108479122 162718683 216958244 271197805 325437366 433916488 542395610 650874732 813593415 867832976 1084791220 1301749464 1627186830 2169582440 2603498928 3254373660 4339164880 6508747320 13017494640