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12687880386978 = 2331967631828531
BaseRepresentation
bin1011100010100010000010…
…0110100111100110100010
31122220221122012101100222000
42320220200212213212202
53130334234334340403
642552422022024430
72446445334562206
oct270504046474642
948827565340860
1012687880386978
114051999784895
12150abb5578116
13710600ca5274
1431c14d44ab06
15170092ecb7a3
hexb8a209a79a2

12687880386978 has 64 divisors (see below), whose sum is σ = 29683657075200. Its totient is φ = 4006104434640.

The previous prime is 12687880386967. The next prime is 12687880387031. The reversal of 12687880386978 is 87968308878621.

12687880386978 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 78 + 80 + 386 + 97 + 8 = 666.

It is a super-2 number, since 2×126878803869782 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12687880386897 and 12687880386906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6024573 + ... + 7853103.

It is an arithmetic number, because the mean of its divisors is an integer number (463807141800).

Almost surely, 212687880386978 is an apocalyptic number.

12687880386978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12687880386978 is an abundant number, since it is smaller than the sum of its proper divisors (16995776688222).

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

12687880386978 is a wasteful number, since it uses less digits than its factorization.

12687880386978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835324 (or 1835318 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 81.

The spelling of 12687880386978 in words is "twelve trillion, six hundred eighty-seven billion, eight hundred eighty million, three hundred eighty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 6763 13526 20289 40578 60867 121734 128497 182601 256994 365202 385491 770982 1156473 1828531 2312946 3469419 3657062 5485593 6938838 10971186 16456779 32913558 34742089 49370337 69484178 98740674 104226267 208452534 312678801 625357602 938036403 1876072806 12366355153 24732710306 37099065459 74198130918 111297196377 222594392754 234960747907 333891589131 469921495814 667783178262 704882243721 1409764487442 2114646731163 4229293462326 6343940193489 12687880386978