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6643013013 = 3371313120639
BaseRepresentation
bin1100010111111010…
…00101010110010101
3122010222000000201000
412023331011112111
5102101102404023
63015102453513
7323422451610
oct61375052625
918128000630
106643013013
1128a9897aaa
121354894299
1381b374740
14470391177
1528d300243
hex18bf45595

6643013013 has 64 divisors (see below), whose sum is σ = 12205670400. Its totient is φ = 3477090240.

The previous prime is 6643013011. The next prime is 6643013021. The reversal of 6643013013 is 3103103466.

6643013013 is a `hidden beast` number, since 6 + 643 + 0 + 1 + 3 + 0 + 13 = 666.

It is not a de Polignac number, because 6643013013 - 21 = 6643013011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

6643013013 is a modest number, since divided by 13013 gives 6643 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6643013011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311548 + ... + 332186.

It is an arithmetic number, because the mean of its divisors is an integer number (190713600).

Almost surely, 26643013013 is an apocalyptic number.

6643013013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6643013013 is a deficient number, since it is larger than the sum of its proper divisors (5562657387).

6643013013 is a wasteful number, since it uses less digits than its factorization.

6643013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20799 (or 20793 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6643013013 is about 81504.6809269259. The cubic root of 6643013013 is about 1879.8435260029.

Adding to 6643013013 its reverse (3103103466), we get a palindrome (9746116479).

The spelling of 6643013013 in words is "six billion, six hundred forty-three million, thirteen thousand, thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 131 189 273 351 393 819 917 1179 1703 2457 2751 3537 5109 8253 11921 15327 20639 24759 35763 45981 61917 107289 144473 185751 268307 321867 433419 557253 804921 1300257 1878149 2414763 2703709 3900771 5634447 7244289 8111127 16903341 18925963 24333381 35148217 50710023 56777889 73000143 105444651 170333667 246037519 316333953 511001001 738112557 949001859 2214337671 6643013013