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420244644666 = 23711101167199271
BaseRepresentation
bin1100001110110001000…
…10000110001100111010
31111011201120102212122010
412013120202012030322
523341130112112131
6521020245110350
742235024353450
oct6073042061472
91434646385563
10420244644666
111522521675a0
12695430b83b6
1330823901c22
14164a8b6c9d0
15ade8d8bb46
hex61d888633a

420244644666 has 256 divisors, whose sum is σ = 1073892556800. Its totient is φ = 106492320000.

The previous prime is 420244644661. The next prime is 420244644679. The reversal of 420244644666 is 666446442024.

It is a super-2 number, since 2×4202446446662 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420244644661) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1550718111 + ... + 1550718381.

It is an arithmetic number, because the mean of its divisors is an integer number (4194892800).

Almost surely, 2420244644666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420244644666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536946278400).

420244644666 is an abundant number, since it is smaller than the sum of its proper divisors (653647912134).

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

420244644666 is a wasteful number, since it uses less digits than its factorization.

420244644666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 420244644666 in words is "four hundred twenty billion, two hundred forty-four million, six hundred forty-four thousand, six hundred sixty-six".