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41601011166 = 232111383194723
BaseRepresentation
bin100110101111100111…
…010000110111011110
310222101020122022221100
4212233213100313132
51140144324324131
631040010013530
73001624521561
oct465747206736
9128336568840
1041601011166
1116708760470
1280901172a6
133bcc980650
1420290864d8
1511373357e6
hex9af9d0dde

41601011166 has 96 divisors (see below), whose sum is σ = 107169858432. Its totient is φ = 11496386880.

The previous prime is 41601011141. The next prime is 41601011171. The reversal of 41601011166 is 66111010614.

It is a happy number.

41601011166 is a `hidden beast` number, since 41 + 601 + 0 + 1 + 1 + 16 + 6 = 666.

It is a super-3 number, since 3×416010111663 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116281 + ... + 311003.

It is an arithmetic number, because the mean of its divisors is an integer number (1116352692).

Almost surely, 241601011166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41601011166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53584929216).

41601011166 is an abundant number, since it is smaller than the sum of its proper divisors (65568847266).

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

41601011166 is a wasteful number, since it uses less digits than its factorization.

41601011166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194838 (or 194835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 41601011166 in words is "forty-one billion, six hundred one million, eleven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 83 99 117 143 166 198 234 249 286 429 498 747 858 913 1079 1287 1494 1826 2158 2574 2739 3237 5478 6474 8217 9711 11869 16434 19422 23738 35607 71214 106821 194723 213642 389446 584169 1168338 1752507 2141953 2531399 3505014 4283906 5062798 6425859 7594197 12851718 15188394 16162009 19277577 22782591 27845389 32324018 38555154 45565182 48486027 55690778 83536167 96972054 145458081 167072334 177782099 210106117 250608501 290916162 355564198 420212234 501217002 533346297 630318351 1066692594 1260636702 1600038891 1890955053 2311167287 3200077782 3781910106 4622334574 6933501861 13867003722 20800505583 41601011166