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41466102066 = 2341016533881
BaseRepresentation
bin100110100111100100…
…101000000100110010
310222000211210020110000
4212213210220010302
51134410310231231
631014350250430
72665366023564
oct464744500462
9128024706400
1041466102066
1116649596244
128052ab6a16
133baaa3658c
1420151a9334
15112a5876e6
hex9a7928132

41466102066 has 80 divisors (see below), whose sum is σ = 94002645528. Its totient is φ = 13660704000.

The previous prime is 41466102047. The next prime is 41466102089. The reversal of 41466102066 is 66020166414.

41466102066 is a `hidden beast` number, since 4 + 14 + 6 + 610 + 20 + 6 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40211879841 + 1254222225 = 200529^2 + 35415^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41466102066.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10682446 + ... + 10686326.

Almost surely, 241466102066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41466102066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001322764).

41466102066 is an abundant number, since it is smaller than the sum of its proper divisors (52536543462).

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

41466102066 is a wasteful number, since it uses less digits than its factorization.

41466102066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 41466102066 in words is "forty-one billion, four hundred sixty-six million, one hundred two thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 653 909 1306 1818 1959 2727 3881 3918 5454 5877 7762 8181 11643 11754 16362 17631 23286 34929 35262 52893 65953 69858 104787 105786 131906 197859 209574 314361 391981 395718 593577 628722 783962 1175943 1187154 1780731 2351886 2534293 3527829 3561462 5068586 5342193 7055658 7602879 10583487 10684386 15205758 21166974 22808637 31750461 45617274 63500922 68425911 136851822 205277733 255963593 410555466 511927186 767890779 1535781558 2303672337 4607344674 6911017011 13822034022 20733051033 41466102066