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12871571401296 = 2432194704521711
BaseRepresentation
bin1011101101001110010101…
…1100001110101001010000
31200120111202221102201222200
42323103211130032221100
53141341434234320141
643213041314003200
72465640352463046
oct273234534165120
950514687381880
1012871571401296
114112891549723
12153a71b276500
13724a2651544a
14326db7528396
15174c44773ab6
hexbb4e570ea50

12871571401296 has 60 divisors (see below), whose sum is σ = 37918444998720. Its totient is φ = 4064706757440.

The previous prime is 12871571401259. The next prime is 12871571401327. The reversal of 12871571401296 is 69210417517821.

12871571401296 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 1 + 571 + 40 + 1 + 29 + 6 = 666.

12871571401296 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 3×128715714012963 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2352258120 + ... + 2352263591.

It is an arithmetic number, because the mean of its divisors is an integer number (631974083312).

Almost surely, 212871571401296 is an apocalyptic number.

12871571401296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12871571401296 is an abundant number, since it is smaller than the sum of its proper divisors (25046873597424).

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

12871571401296 is a wasteful number, since it uses less digits than its factorization.

12871571401296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704521744 (or 4704521735 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 12871571401296 in words is "twelve trillion, eight hundred seventy-one billion, five hundred seventy-one million, four hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4704521711 9409043422 14113565133 18818086844 28227130266 37636173688 42340695399 56454260532 75272347376 84681390798 89385912509 112908521064 169362781596 178771825018 225817042128 268157737527 338725563192 357543650036 536315475054 677451126384 715087300072 804473212581 1072630950108 1430174600144 1608946425162 2145261900216 3217892850324 4290523800432 6435785700648 12871571401296