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12716776512 = 2632112007067
BaseRepresentation
bin10111101011111101…
…01001110001000000
31012211020212011212200
423311332221301000
5202020443322022
65501512353200
7630063550116
oct136576516100
935736764780
1012716776512
11543631a460
12256a9a5800
1312787c903b
14888cc1ab6
154e6658bac
hex2f5fa9c40

12716776512 has 84 divisors (see below), whose sum is σ = 39764031216. Its totient is φ = 3853566720.

The previous prime is 12716776483. The next prime is 12716776517. The reversal of 12716776512 is 21567761721.

12716776512 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 67 + 76 + 512 = 666.

It is a super-2 number, since 2×127167765122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12716776517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997198 + ... + 1009869.

It is an arithmetic number, because the mean of its divisors is an integer number (473381324).

Almost surely, 212716776512 is an apocalyptic number.

12716776512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12716776512 is an abundant number, since it is smaller than the sum of its proper divisors (27047254704).

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

12716776512 is a wasteful number, since it uses less digits than its factorization.

12716776512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007096 (or 2007083 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 12716776512 in words is "twelve billion, seven hundred sixteen million, seven hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 2007067 4014134 6021201 8028268 12042402 16056536 18063603 22077737 24084804 32113072 36127206 44155474 48169608 64226144 66233211 72254412 88310948 96339216 128452288 132466422 144508824 176621896 192678432 198699633 264932844 289017648 353243792 385356864 397399266 529865688 578035296 706487584 794798532 1059731376 1156070592 1412975168 1589597064 2119462752 3179194128 4238925504 6358388256 12716776512