Search a number
-
+
422773708608 = 26333113956779
BaseRepresentation
bin1100010011011110100…
…01101101011101000000
31111102020211022122011000
412021233101231131000
523411320032133413
6522115231452000
742354504141636
oct6115721553500
91442224278130
10422773708608
1115332a811789
1269b2a087000
1330b37869274
14166689c7356
15aee5e09073
hex626f46d740

422773708608 has 224 divisors, whose sum is σ = 1292221952000. Its totient is φ = 135395089920.

The previous prime is 422773708607. The next prime is 422773708619. The reversal of 422773708608 is 806807377224.

422773708608 is a `hidden beast` number, since 4 + 2 + 27 + 7 + 3 + 7 + 0 + 8 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422773708601) 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 31 ways as a sum of consecutive naturals, for example, 7417563 + ... + 7474341.

It is an arithmetic number, because the mean of its divisors is an integer number (5768848000).

Almost surely, 2422773708608 is an apocalyptic number.

422773708608 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 422773708608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646110976000).

422773708608 is an abundant number, since it is smaller than the sum of its proper divisors (869448243392).

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

422773708608 is a wasteful number, since it uses less digits than its factorization.

422773708608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56970 (or 56954 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 422773708608 in words is "four hundred twenty-two billion, seven hundred seventy-three million, seven hundred eight thousand, six hundred eight".