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640414566 = 233114325073
BaseRepresentation
bin100110001010111…
…111001101100110
31122122001102122000
4212022333031212
52302421231231
6143314150130
721604301601
oct4612771546
91578042560
10640414566
112a9551a40
1215a582346
13a28a903c
14610a7338
153b3526e6
hex262bf366

640414566 has 64 divisors (see below), whose sum is σ = 1588688640. Its totient is φ = 189544320.

The previous prime is 640414559. The next prime is 640414597. The reversal of 640414566 is 665414046.

640414566 is a `hidden beast` number, since 640 + 4 + 1 + 4 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 640414566.

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 31 ways as a sum of consecutive naturals, for example, 13006 + ... + 38078.

It is an arithmetic number, because the mean of its divisors is an integer number (24823260).

Almost surely, 2640414566 is an apocalyptic number.

640414566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 640414566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794344320).

640414566 is an abundant number, since it is smaller than the sum of its proper divisors (948274074).

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

640414566 is a wasteful number, since it uses less digits than its factorization.

640414566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25138 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 640414566 is about 25306.4135349124. The cubic root of 640414566 is about 861.9599098859.

The spelling of 640414566 in words is "six hundred forty million, four hundred fourteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 2322 2838 4257 8514 12771 25073 25542 50146 75219 150438 225657 275803 451314 551606 676971 827409 1078139 1353942 1654818 2156278 2482227 3234417 4964454 6468834 7446681 9703251 11859529 14893362 19406502 23719058 29109753 35578587 58219506 71157174 106735761 213471522 320207283 640414566