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2246055549696 = 2832717193591201
BaseRepresentation
bin100000101011110011010…
…101111101101100000000
321221201110110202212111100
4200223303111331230000
5243244410210042241
64435453525214400
7321162231111510
oct40536325755400
97851413685440
102246055549696
11796601892152
12303373561400
13133a57380caa
147a9d148b840
153d6598959b6
hex20af357db00

2246055549696 has 864 divisors, whose sum is σ = 8278729804800. Its totient is φ = 570123878400.

The previous prime is 2246055549557. The next prime is 2246055549709. The reversal of 2246055549696 is 6969455506422.

2246055549696 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 0 + 5 + 55 + 496 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1870153896 + ... + 1870155096.

It is an arithmetic number, because the mean of its divisors is an integer number (9581863200).

Almost surely, 22246055549696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246055549696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139364902400).

2246055549696 is an abundant number, since it is smaller than the sum of its proper divisors (6032674255104).

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

2246055549696 is a wasteful number, since it uses less digits than its factorization.

2246055549696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 2246055549696 in words is "two trillion, two hundred forty-six billion, fifty-five million, five hundred forty-nine thousand, six hundred ninety-six".