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13007960460 = 22325116569677
BaseRepresentation
bin11000001110101010…
…11011100110001100
31020120112202212011100
430013111123212030
5203120014213320
65550433423100
7640230560655
oct140725334614
936515685140
1013007960460
115575722250
12263040aa90
1312c3c2b131
148b583c52c
15511ec5790
hex30755b98c

13007960460 has 72 divisors (see below), whose sum is σ = 43044530256. Its totient is φ = 3153444480.

The previous prime is 13007960453. The next prime is 13007960473. The reversal of 13007960460 is 6406970031.

13007960460 is a `hidden beast` number, since 130 + 0 + 7 + 9 + 60 + 460 = 666.

13007960460 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 (36).

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 23 ways as a sum of consecutive naturals, for example, 3282859 + ... + 3286818.

It is an arithmetic number, because the mean of its divisors is an integer number (597840698).

Almost surely, 213007960460 is an apocalyptic number.

13007960460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13007960460 is an abundant number, since it is smaller than the sum of its proper divisors (30036569796).

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

13007960460 is a wasteful number, since it uses less digits than its factorization.

13007960460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569703 (or 6569698 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13007960460 in words is "thirteen billion, seven million, nine hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6569677 13139354 19709031 26278708 32848385 39418062 59127093 65696770 72266447 78836124 98545155 118254186 131393540 144532894 197090310 216799341 236508372 289065788 295635465 361332235 394180620 433598682 591270930 650398023 722664470 867197364 1083996705 1182541860 1300796046 1445328940 2167993410 2601592092 3251990115 4335986820 6503980230 13007960460