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66024431325460 = 22510068973278609
BaseRepresentation
bin11110000001100100000101…
…10001101001000100010100
322122202212121010202222212101
433000302002301221010110
532123221013404403320
6352231112141331444
716623051646330666
oct1700620261510424
9278685533688771
1066024431325460
111a045893258a23
1274a3b88566b84
132aac10069628a
14124385715c536
157976a882bc0a
hex3c0c82c69114

66024431325460 has 24 divisors (see below), whose sum is σ = 138651485774760. Its totient is φ = 26409738246144.

The previous prime is 66024431325329. The next prime is 66024431325499. The reversal of 66024431325460 is 6452313442066.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2865998441476 + 63158432883984 = 1692926^2 + 7947228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66024431325460.

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 7 ways as a sum of consecutive naturals, for example, 18498636 + ... + 21777244.

It is an arithmetic number, because the mean of its divisors is an integer number (5777145240615).

Almost surely, 266024431325460 is an apocalyptic number.

It is an amenable number.

66024431325460 is an abundant number, since it is smaller than the sum of its proper divisors (72627054449300).

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

66024431325460 is a wasteful number, since it uses less digits than its factorization.

66024431325460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285515 (or 4285513 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 66024431325460 in words is "sixty-six trillion, twenty-four billion, four hundred thirty-one million, three hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1006897 2013794 3278609 4027588 5034485 6557218 10068970 13114436 16393045 20137940 32786090 65572180 3301221566273 6602443132546 13204886265092 16506107831365 33012215662730 66024431325460