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450527710668 = 2237194120873299
BaseRepresentation
bin1101000111001011000…
…10110100110111001100
31121001220001101000120020
412203211202310313030
524340140043220133
6542545232222140
744356332232560
oct6434542646714
91531801330506
10450527710668
11164082169272
127339499a950
133363b8160a9
1417b3ca1d6a0
15babc77c0b3
hex68e58b4dcc

450527710668 has 192 divisors, whose sum is σ = 1296497664000. Its totient is φ = 118879971840.

The previous prime is 450527710651. The next prime is 450527710733. The reversal of 450527710668 is 866017725054.

450527710668 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 450527710668.

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, 136563283 + ... + 136566581.

It is an arithmetic number, because the mean of its divisors is an integer number (6752592000).

Almost surely, 2450527710668 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 450527710668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648248832000).

450527710668 is an abundant number, since it is smaller than the sum of its proper divisors (845969953332).

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

450527710668 is a wasteful number, since it uses less digits than its factorization.

450527710668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 450527710668 in words is "four hundred fifty billion, five hundred twenty-seven million, seven hundred ten thousand, six hundred sixty-eight".