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1008216223965 = 32522404804977
BaseRepresentation
bin11101010101111100101…
…11101011000011011101
310120101101022200211220100
432222332113223003131
5113004311323131330
62051100152411313
7132561352334526
oct16527627530335
93511338624810
101008216223965
11359644857635
121434956a6b39
13740c7556722
1436b2571784d
151b35cc23060
hexeabe5eb0dd

1008216223965 has 12 divisors (see below), whose sum is σ = 1747574788284. Its totient is φ = 537715319424.

The previous prime is 1008216223867. The next prime is 1008216223967. The reversal of 1008216223965 is 5693226128001.

1008216223965 is a `hidden beast` number, since 10 + 0 + 8 + 2 + 1 + 622 + 3 + 9 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196438649796 + 811777574169 = 443214^2 + 900987^2 .

It is not a de Polignac number, because 1008216223965 - 221 = 1008214126813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 22404804977 = 1008216223965 / (1 + 0 + 0 + 8 + 2 + 1 + 6 + 2 + 2 + 3 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1008216223965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008216223967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11202402444 + ... + 11202402533.

It is an arithmetic number, because the mean of its divisors is an integer number (145631232357).

Almost surely, 21008216223965 is an apocalyptic number.

1008216223965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1008216223965 is a deficient number, since it is larger than the sum of its proper divisors (739358564319).

1008216223965 is a wasteful number, since it uses less digits than its factorization.

1008216223965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22404804988 (or 22404804985 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1008216223965 in words is "one trillion, eight billion, two hundred sixteen million, two hundred twenty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 22404804977 67214414931 112024024885 201643244793 336072074655 1008216223965