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427622552448 = 27371359211983
BaseRepresentation
bin1100011100100000100…
…10100101001110000000
31111212202202021102102220
412032100102211032000
524001232333134243
6524240323211040
742615612502620
oct6162022451600
91455682242386
10427622552448
11155398867943
126aa61b16a80
133142b2b2930
14169a897c880
15b1cb953783
hex63904a5380

427622552448 has 512 divisors, whose sum is σ = 1429882675200. Its totient is φ = 110230364160.

The previous prime is 427622552419. The next prime is 427622552479. The reversal of 427622552448 is 844255226724.

It is a happy number.

It is a super-2 number, since 2×4276225524482 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427622552448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435017365 + ... + 435018347.

It is an arithmetic number, because the mean of its divisors is an integer number (2792739600).

Almost surely, 2427622552448 is an apocalyptic number.

427622552448 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 427622552448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714941337600).

427622552448 is an abundant number, since it is smaller than the sum of its proper divisors (1002260122752).

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

427622552448 is a wasteful number, since it uses less digits than its factorization.

427622552448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 51.

The spelling of 427622552448 in words is "four hundred twenty-seven billion, six hundred twenty-two million, five hundred fifty-two thousand, four hundred forty-eight".