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12860275081856 = 271016011655177
BaseRepresentation
bin1011101100100100010000…
…1000001100001010000000
31200112102121200102020220012
42323021010020030022000
53141200320410104411
643203532342404052
72465060414400116
oct273110410141200
950472550366805
1012860275081856
114109015020734
1215384a8130628
137239460ab367
14326625161ab6
151747d2ba118b
hexbb24420c280

12860275081856 has 64 divisors (see below), whose sum is σ = 25916810227560. Its totient is φ = 6355875840000.

The previous prime is 12860275081817. The next prime is 12860275081861. The reversal of 12860275081856 is 65818057206821.

It can be written as a sum of positive squares in 4 ways, for example, as 12161847163456 + 698427918400 = 3487384^2 + 835720^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12860275081795 and 12860275081804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6942140 + ... + 8597316.

Almost surely, 212860275081856 is an apocalyptic number.

12860275081856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12860275081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958405113780).

12860275081856 is an abundant number, since it is smaller than the sum of its proper divisors (13056535145704).

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

12860275081856 is a wasteful number, since it uses less digits than its factorization.

12860275081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655893 (or 1655881 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 59.

The spelling of 12860275081856 in words is "twelve trillion, eight hundred sixty billion, two hundred seventy-five million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 601 808 1202 1616 2404 3232 4808 6464 9616 12928 19232 38464 60701 76928 121402 242804 485608 971216 1655177 1942432 3310354 3884864 6620708 7769728 13241416 26482832 52965664 105931328 167172877 211862656 334345754 668691508 994761377 1337383016 1989522754 2674766032 3979045508 5349532064 7958091016 10699064128 15916182032 21398128256 31832364064 63664728128 100470899077 127329456256 200941798154 401883596308 803767192616 1607534385232 3215068770464 6430137540928 12860275081856