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13002871716 = 2232733492757
BaseRepresentation
bin11000001110000100…
…00001001110100100
31020120012012022201100
430013002001032210
5203112213343331
65550132400100
7640136404662
oct140702011644
936505168640
1013002871716
115572866a7a
12262a776030
1312c2b68b43
148b4cb5c32
1551181cae6
hex3070813a4

13002871716 has 36 divisors (see below), whose sum is σ = 32913277852. Its totient is φ = 4328368704.

The previous prime is 13002871667. The next prime is 13002871729. The reversal of 13002871716 is 61717820031.

13002871716 is a `hidden beast` number, since 1 + 300 + 287 + 1 + 71 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8583281316 + 4419590400 = 92646^2 + 66480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219991 + ... + 272766.

Almost surely, 213002871716 is an apocalyptic number.

It is an amenable number.

13002871716 is an abundant number, since it is smaller than the sum of its proper divisors (19910406136).

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

13002871716 is a wasteful number, since it uses less digits than its factorization.

13002871716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493500 (or 493495 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 13002871716 in words is "thirteen billion, two million, eight hundred seventy-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 733 1466 2199 2932 4398 6597 8796 13194 26388 492757 985514 1478271 1971028 2956542 4434813 5913084 8869626 17739252 361190881 722381762 1083572643 1444763524 2167145286 3250717929 4334290572 6501435858 13002871716