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424460227968 = 27347417259
BaseRepresentation
bin1100010110100111100…
…11010001010110000000
31111120121100210200210000
412023103303101112000
523423243304243333
6522554435440000
742444343260000
oct6132363212600
91446540720700
10424460227968
11154015807737
126a31aa56000
13310460a590a
14167889a0000
15b093ee8713
hex62d3cd1580

424460227968 has 1200 divisors, whose sum is σ = 1591945829100. Its totient is φ = 112205979648.

The previous prime is 424460227957. The next prime is 424460227993. The reversal of 424460227968 is 869722064424.

It is a happy number.

424460227968 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 602 + 27 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 149 ways as a sum of consecutive naturals, for example, 7194241123 + ... + 7194241181.

Almost surely, 2424460227968 is an apocalyptic number.

424460227968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424460227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795972914550).

424460227968 is an abundant number, since it is smaller than the sum of its proper divisors (1167485601132).

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

424460227968 is an frugal number, since it uses more digits than its factorization.

424460227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 424460227968 in words is "four hundred twenty-four billion, four hundred sixty million, two hundred twenty-seven thousand, nine hundred sixty-eight".