Search a number
-
+
1366351610112 = 283223731073301
BaseRepresentation
bin10011111000100000111…
…001110000000100000000
311211121210101121111001100
4103320200321300010000
5134341242003010422
62523405424534400
7200500316025666
oct23704071600400
94747711544040
101366351610112
11487514954a05
121a0984481400
139bb0071b3b8
144a1bb816c36
152581e0b67ac
hex13e20e70100

1366351610112 has 432 divisors, whose sum is σ = 4207344156288. Its totient is φ = 425535897600.

The previous prime is 1366351610101. The next prime is 1366351610123. The reversal of 1366351610112 is 2110161536631.

1366351610112 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 35 + 1 + 610 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1366351610101) and next prime (1366351610123).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413918862 + ... + 413922162.

It is an arithmetic number, because the mean of its divisors is an integer number (9739222584).

Almost surely, 21366351610112 is an apocalyptic number.

1366351610112 is a gapful number since it is divisible by the number (12) 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 1366351610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103672078144).

1366351610112 is an abundant number, since it is smaller than the sum of its proper divisors (2840992546176).

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

1366351610112 is a wasteful number, since it uses less digits than its factorization.

1366351610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1366351610112 in words is "one trillion, three hundred sixty-six billion, three hundred fifty-one million, six hundred ten thousand, one hundred twelve".