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12954083595168 = 2531071261106269
BaseRepresentation
bin1011110010000001101110…
…0011010001001110100000
31200212101202100200111010010
42330200123203101032200
53144214430400021133
643315005052404520
72504621160531042
oct274403343211640
950771670614103
1012954083595168
114144883528191
121552708476740
1372c745c589c1
1432ada3ba9a92
15176e7357b263
hexbc81b8d13a0

12954083595168 has 48 divisors (see below), whose sum is σ = 34322268244320. Its totient is φ = 4277672461056.

The previous prime is 12954083595149. The next prime is 12954083595181. The reversal of 12954083595168 is 86159538045921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×129540835951682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12954083595099 and 12954083595108.

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 7 ways as a sum of consecutive naturals, for example, 630542863 + ... + 630563406.

It is an arithmetic number, because the mean of its divisors is an integer number (715047255090).

Almost surely, 212954083595168 is an apocalyptic number.

It is an amenable number.

12954083595168 is an abundant number, since it is smaller than the sum of its proper divisors (21368184649152).

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

12954083595168 is a wasteful number, since it uses less digits than its factorization.

12954083595168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261106389 (or 1261106381 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 66.

The spelling of 12954083595168 in words is "twelve trillion, nine hundred fifty-four billion, eighty-three million, five hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 1261106269 2522212538 3783318807 5044425076 7566637614 10088850152 15133275228 20177700304 30266550456 40355400608 60533100912 121066201824 134938370783 269876741566 404815112349 539753483132 809630224698 1079506966264 1619260449396 2159013932528 3238520898792 4318027865056 6477041797584 12954083595168