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12743286411076 = 221323124321032
BaseRepresentation
bin1011100101110000011100…
…0011110100111101000100
31200010020122112121000111121
42321130013003310331010
53132241222310123301
643034103541243324
72453446342164154
oct271340703647504
950106575530447
1012743286411076
114073440a64851
121519898a03544
137158c0a44100
14320ac7b30764
1517173727b3a1
hexb97070f4f44

12743286411076 has 243 divisors, whose sum is σ = 25796459078397. Its totient is φ = 5505448253760.

The previous prime is 12743286411071. The next prime is 12743286411101. The reversal of 12743286411076 is 67011468234721.

The square root of 12743286411076 is 3569774.

It is a perfect power (a square), and thus also a powerful number.

12743286411076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1885101540100 + 10858184870976 = 1372990^2 + 3295176^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12743286411071) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123721227241 + ... + 123721227343.

Almost surely, 212743286411076 is an apocalyptic number.

12743286411076 is the 3569774-th square number.

It is an amenable number.

12743286411076 is an abundant number, since it is smaller than the sum of its proper divisors (13053172667321).

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

12743286411076 is a wasteful number, since it uses less digits than its factorization.

12743286411076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 12743286411076 in words is "twelve trillion, seven hundred forty-three billion, two hundred eighty-six million, four hundred eleven thousand, seventy-six".