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501166116 = 223511192467
BaseRepresentation
bin11101110111110…
…011000000100100
31021221000212200000
4131313303000210
52011244303431
6121421421300
715263561463
oct3567630044
91257025600
10501166116
11237993580
1211ba0a830
137caa2ac9
144a7ba9da
152dee89e6
hex1ddf3024

501166116 has 144 divisors (see below), whose sum is σ = 1509231360. Its totient is φ = 143817120.

The previous prime is 501166111. The next prime is 501166163. The reversal of 501166116 is 611661105.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 501166116.

It is not an unprimeable number, because it can be changed into a prime (501166111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201915 + ... + 204381.

Almost surely, 2501166116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501166116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754615680).

501166116 is an abundant number, since it is smaller than the sum of its proper divisors (1008065244).

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

501166116 is a wasteful number, since it uses less digits than its factorization.

501166116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 501166116 is about 22386.7397358347. The cubic root of 501166116 is about 794.3170781730.

The spelling of 501166116 in words is "five hundred one million, one hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 243 297 324 342 396 418 486 513 594 627 684 836 891 972 1026 1188 1254 1539 1782 1881 2052 2467 2508 2673 3078 3564 3762 4617 4934 5346 5643 6156 7401 7524 9234 9868 10692 11286 14802 16929 18468 22203 22572 27137 29604 33858 44406 46873 50787 54274 66609 67716 81411 88812 93746 101574 108548 133218 140619 162822 187492 199827 203148 244233 266436 281238 325644 399654 421857 488466 515603 562476 599481 732699 799308 843714 976932 1031206 1198962 1265571 1465398 1546809 1687428 2062412 2198097 2397924 2531142 2930796 3093618 3796713 4396194 4640427 5062284 6187236 6594291 7593426 8792388 9280854 11390139 13188582 13921281 15186852 18561708 22780278 26377164 27842562 41763843 45560556 55685124 83527686 125291529 167055372 250583058 501166116