Search a number
-
+
422504848080 = 243257359107271
BaseRepresentation
bin1100010010111110100…
…00000101101011010000
31111101120002102002211200
412021133100011223100
523410242220114310
6522032425111200
742345030645000
oct6113720055320
91441502362750
10422504848080
11153201a768a7
1269a74028500
1330ac3c51cb3
1416640ddc000
15aecc4eb9c0
hex625f405ad0

422504848080 has 960 divisors, whose sum is σ = 1704748032000. Its totient is φ = 93701422080.

The previous prime is 422504848061. The next prime is 422504848093. The reversal of 422504848080 is 80848405224.

422504848080 is a `hidden beast` number, since 4 + 2 + 2 + 50 + 48 + 480 + 80 = 666.

It is a super-2 number, since 2×4225048480802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 1559058345 + ... + 1559058615.

It is an arithmetic number, because the mean of its divisors is an integer number (1775779200).

Almost surely, 2422504848080 is an apocalyptic number.

422504848080 is a gapful number since it is divisible by the number (40) 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 422504848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852374016000).

422504848080 is an abundant number, since it is smaller than the sum of its proper divisors (1282243183920).

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

422504848080 is a wasteful number, since it uses less digits than its factorization.

422504848080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 422504848080 in words is "four hundred twenty-two billion, five hundred four million, eight hundred forty-eight thousand, eighty".