Search a number
-
+
41721044166 = 2332333799679
BaseRepresentation
bin100110110110110001…
…001001110011000110
310222200121111122021000
4212312301021303012
51140421041403131
631055534434130
73004613011164
oct466661116306
9128617448230
1041721044166
111676a494a9a
128104362946
133c1b7b95a9
14203adb0234
151142b45ce6
hex9b6c49cc6

41721044166 has 64 divisors (see below), whose sum is σ = 97032499200. Its totient is φ = 13262755968.

The previous prime is 41721044159. The next prime is 41721044191. The reversal of 41721044166 is 66144012714.

It is a happy number.

41721044166 is digitally balanced in base 2, 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 41721044166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368715 + ... + 468393.

It is an arithmetic number, because the mean of its divisors is an integer number (1516132800).

Almost surely, 241721044166 is an apocalyptic number.

41721044166 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41721044166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48516249600).

41721044166 is an abundant number, since it is smaller than the sum of its proper divisors (55311455034).

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

41721044166 is a wasteful number, since it uses less digits than its factorization.

41721044166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100050 (or 100044 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41721044166 in words is "forty-one billion, seven hundred twenty-one million, forty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 337 414 621 674 1011 1242 2022 3033 6066 7751 9099 15502 18198 23253 46506 69759 99679 139518 199358 209277 299037 418554 598074 897111 1794222 2292617 2691333 4585234 5382666 6877851 13755702 20633553 33591823 41267106 61900659 67183646 100775469 123801318 201550938 302326407 604652814 772611929 906979221 1545223858 1813958442 2317835787 4635671574 6953507361 13907014722 20860522083 41721044166