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2246462642256 = 243767281379937
BaseRepresentation
bin100000101100001011100…
…110111001100001010000
321221202111211210022111120
4200230023212321201100
5243301223414023011
64440002150442240
7321205303253340
oct40541346714120
97852454708446
102246462642256
117967a0661888
12303467963380
13133ac0806971
147aa2d57ad20
153d6804aaa06
hex20b0b9b9850

2246462642256 has 320 divisors, whose sum is σ = 6780412692480. Its totient is φ = 627683696640.

The previous prime is 2246462642243. The next prime is 2246462642293. The reversal of 2246462642256 is 6522462646422.

It is a junction number, because it is equal to n+sod(n) for n = 2246462642199 and 2246462642208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397505020 + ... + 2397505956.

It is an arithmetic number, because the mean of its divisors is an integer number (21188789664).

Almost surely, 22246462642256 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 2246462642256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390206346240).

2246462642256 is an abundant number, since it is smaller than the sum of its proper divisors (4533950050224).

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

2246462642256 is a wasteful number, since it uses less digits than its factorization.

2246462642256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 51.

The spelling of 2246462642256 in words is "two trillion, two hundred forty-six billion, four hundred sixty-two million, six hundred forty-two thousand, two hundred fifty-six".