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641454066 = 23411734931
BaseRepresentation
bin100110001110111…
…100111111110010
31122201000020120000
4212032330333302
52303203012231
6143352330430
721616161321
oct4616747762
91581006500
10641454066
112aa0a1a30
1215a9a3a16
13a2b81226
14612980b8
153b4aa6e6
hex263bcff2

641454066 has 80 divisors (see below), whose sum is σ = 1589800608. Its totient is φ = 191678400.

The previous prime is 641454049. The next prime is 641454067. The reversal of 641454066 is 660454146.

641454066 is a `hidden beast` number, since 641 + 4 + 5 + 4 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×6414540662 = 822926637575864712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 641454066.

It is not an unprimeable number, because it can be changed into a prime (641454067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127621 + ... + 132551.

Almost surely, 2641454066 is an apocalyptic number.

641454066 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 641454066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794900304).

641454066 is an abundant number, since it is smaller than the sum of its proper divisors (948346542).

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

641454066 is a wasteful number, since it uses less digits than its factorization.

641454066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5020 counting only the distinct ones).

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

The square root of 641454066 is about 25326.9434792278. The cubic root of 641454066 is about 862.4260261699.

The spelling of 641454066 in words is "six hundred forty-one million, four hundred fifty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 81 99 146 162 198 219 297 438 594 657 803 891 1314 1606 1782 1971 2409 3942 4818 4931 5913 7227 9862 11826 14454 14793 21681 29586 43362 44379 54241 65043 88758 108482 130086 133137 162723 266274 325446 359963 399411 488169 719926 798822 976338 1079889 1464507 2159778 2929014 3239667 3959593 4393521 6479334 7919186 8787042 9719001 11878779 19438002 23757558 29157003 35636337 58314006 71272674 106909011 213818022 320727033 641454066