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4222994662656 = 283474112701
BaseRepresentation
bin111101011100111110000…
…110001100010100000000
3112221201021202111021120000
4331130332012030110000
51023142143113201111
612552003355320000
7614046513240000
oct75347606142400
915851252437500
104222994662656
111388a64437200
12582540450000
132482c4058573
14108573320000
1574cb3037c56
hex3d73e18c500

4222994662656 has 1350 divisors, whose sum is σ = 16169929721946. Its totient is φ = 1095316992000.

The previous prime is 4222994662651. The next prime is 4222994662697. The reversal of 4222994662656 is 6562664992224.

It is a happy number.

4222994662656 is a `hidden beast` number, since 4 + 2 + 22 + 99 + 466 + 2 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4072388576256 + 150606086400 = 2018016^2 + 388080^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4222994662593 and 4222994662602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222994662651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 6024243106 + ... + 6024243806.

Almost surely, 24222994662656 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 4222994662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084964860973).

4222994662656 is an abundant number, since it is smaller than the sum of its proper divisors (11946935059290).

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

4222994662656 is an frugal number, since it uses more digits than its factorization.

4222994662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 724 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 4222994662656 in words is "four trillion, two hundred twenty-two billion, nine hundred ninety-four million, six hundred sixty-two thousand, six hundred fifty-six".