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13066733412 = 22322319780107
BaseRepresentation
bin11000010101101011…
…01000011101100100
31020201122100211111100
430022311220131210
5203230040432122
610000333240100
7641543254455
oct141265503544
936648324440
1013066733412
1155a5915237
122648033030
131303168725
148bd57b12c
15517234aac
hex30ad68764

13066733412 has 72 divisors (see below), whose sum is σ = 34641262656. Its totient is φ = 4145004864.

The previous prime is 13066733369. The next prime is 13066733437. The reversal of 13066733412 is 21433766031.

13066733412 is a `hidden beast` number, since 1 + 306 + 6 + 7 + 3 + 341 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 123063 + ... + 203169.

It is an arithmetic number, because the mean of its divisors is an integer number (481128648).

Almost surely, 213066733412 is an apocalyptic number.

13066733412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066733412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320631328).

13066733412 is an abundant number, since it is smaller than the sum of its proper divisors (21574529244).

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

13066733412 is a wasteful number, since it uses less digits than its factorization.

13066733412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80337 (or 80332 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13066733412 in words is "thirteen billion, sixty-six million, seven hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 197 207 276 394 414 591 788 828 1182 1773 2364 3546 4531 7092 9062 13593 18124 27186 40779 54372 80107 81558 160214 163116 240321 320428 480642 720963 961284 1441926 1842461 2883852 3684922 5527383 7369844 11054766 15781079 16582149 22109532 31562158 33164298 47343237 63124316 66328596 94686474 142029711 189372948 284059422 362964817 568118844 725929634 1088894451 1451859268 2177788902 3266683353 4355577804 6533366706 13066733412