Search a number
-
+
422396817024 = 27371361712791
BaseRepresentation
bin1100010010110001100…
…11111110111010000000
31111101021120010120002110
412021120303332322000
523410032041121044
6522014005415320
742342246463440
oct6113063767200
91441246116073
10422396817024
11153156a9a536
1269a43a0a540
1330aa7758bb0
141663091a120
15aec2cac6b9
hex6258cfee80

422396817024 has 512 divisors, whose sum is σ = 1423828869120. Its totient is φ = 107993088000.

The previous prime is 422396817001. The next prime is 422396817049. The reversal of 422396817024 is 420718693224.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 151341069 + ... + 151343859.

It is an arithmetic number, because the mean of its divisors is an integer number (2780915760).

Almost surely, 2422396817024 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 422396817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711914434560).

422396817024 is an abundant number, since it is smaller than the sum of its proper divisors (1001432052096).

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

422396817024 is a wasteful number, since it uses less digits than its factorization.

422396817024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 422396817024 in words is "four hundred twenty-two billion, three hundred ninety-six million, eight hundred seventeen thousand, twenty-four".