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455320829568 = 273112413131429
BaseRepresentation
bin1101010000000110011…
…11000111111010000000
31121112021002110200121110
412220003033013322000
524424444113021233
6545101013323320
744616163123263
oct6500317077200
91545232420543
10455320829568
11166111813460
12742b2036540
1333c2384b617
141807542acda
15bc9d46a663
hex6a033c7e80

455320829568 has 256 divisors, whose sum is σ = 1330033161600. Its totient is φ = 136868659200.

The previous prime is 455320829549. The next prime is 455320829611. The reversal of 455320829568 is 865928023554.

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 31 ways as a sum of consecutive naturals, for example, 318628278 + ... + 318629706.

Almost surely, 2455320829568 is an apocalyptic number.

455320829568 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 455320829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665016580800).

455320829568 is an abundant number, since it is smaller than the sum of its proper divisors (874712332032).

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

455320829568 is a wasteful number, since it uses less digits than its factorization.

455320829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 455320829568 in words is "four hundred fifty-five billion, three hundred twenty million, eight hundred twenty-nine thousand, five hundred sixty-eight".