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422753621472 = 25347213534831
BaseRepresentation
bin1100010011011100001…
…01000101010111100000
31111102012102112002210000
412021232011011113200
523411244411341342
6522113233140000
742354141330600
oct6115605052740
91442172462700
10422753621472
1115331a441a46
1269b233ba600
1330b336552a0
1416666078c00
15aee428c44c
hex626e1455e0

422753621472 has 720 divisors, whose sum is σ = 1587265206912. Its totient is φ = 109369128960.

The previous prime is 422753621399. The next prime is 422753621491. The reversal of 422753621472 is 274126357224.

422753621472 is a `hidden beast` number, since 4 + 2 + 27 + 536 + 21 + 4 + 72 = 666.

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 119 ways as a sum of consecutive naturals, for example, 87506097 + ... + 87510927.

Almost surely, 2422753621472 is an apocalyptic number.

422753621472 is a gapful number since it is divisible by the number (42) 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 422753621472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793632603456).

422753621472 is an abundant number, since it is smaller than the sum of its proper divisors (1164511585440).

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

422753621472 is a wasteful number, since it uses less digits than its factorization.

422753621472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4909 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

Adding to 422753621472 its reverse (274126357224), we get a palindrome (696879978696).

The spelling of 422753621472 in words is "four hundred twenty-two billion, seven hundred fifty-three million, six hundred twenty-one thousand, four hundred seventy-two".