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12671131677516 = 223213115323482279
BaseRepresentation
bin1011100001100011101001…
…0011010111001101001100
31122212100101221201202212100
42320120322103113031030
53130100434202140031
642541012035035100
72445313312106364
oct270307223271514
948770357652770
1012671131677516
114045884550544
12150790043ba90
1370bb62086ab0
1431b400ca19a4
1516e9128e0de6
hexb863a4d734c

12671131677516 has 72 divisors (see below), whose sum is σ = 34523554126880. Its totient is φ = 3895428132864.

The previous prime is 12671131677497. The next prime is 12671131677559. The reversal of 12671131677516 is 61577613117621.

12671131677516 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 113 + 1 + 6 + 7 + 7 + 516 = 666.

12671131677516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126711316775163 (a number of 40 digits) contains 333 as substring.

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, 11201536 + ... + 12280743.

Almost surely, 212671131677516 is an apocalyptic number.

It is an amenable number.

12671131677516 is an abundant number, since it is smaller than the sum of its proper divisors (21852422449364).

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

12671131677516 is a wasteful number, since it uses less digits than its factorization.

12671131677516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23483455 (or 23483450 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The spelling of 12671131677516 in words is "twelve trillion, six hundred seventy-one billion, one hundred thirty-one million, six hundred seventy-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1153 2306 3459 4612 6918 10377 13836 14989 20754 29978 41508 44967 59956 89934 134901 179868 269802 539604 23482279 46964558 70446837 93929116 140893674 211340511 281787348 305269627 422681022 610539254 845362044 915808881 1221078508 1831617762 2747426643 3663235524 5494853286 10989706572 27075067687 54150135374 81225203061 108300270748 162450406122 243675609183 324900812244 351975879931 487351218366 703951759862 974702436732 1055927639793 1407903519724 2111855279586 3167782919379 4223710559172 6335565838758 12671131677516