Search a number
-
+
100666050016 = 2572293171413
BaseRepresentation
bin101110111000000101…
…0100000010111100000
3100121211120221012002211
41131300022200113200
53122131002100031
6114124554451504
710162412210200
oct1356012402740
9317746835084
10100666050016
11397683a7364
1217614a33b94
1396537c2c8c
144c2d6bc400
152942952bb1
hex17702a05e0

100666050016 has 144 divisors (see below), whose sum is σ = 246189767040. Its totient is φ = 40310645760.

The previous prime is 100666049999. The next prime is 100666050031. The reversal of 100666050016 is 610050666001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 100666050016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373926 + ... + 1445338.

It is an arithmetic number, because the mean of its divisors is an integer number (1709651160).

Almost surely, 2100666050016 is an apocalyptic number.

100666050016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100666050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123094883520).

100666050016 is an abundant number, since it is smaller than the sum of its proper divisors (145523717024).

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

100666050016 is a wasteful number, since it uses less digits than its factorization.

100666050016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71497 (or 71482 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 100666050016 in words is "one hundred billion, six hundred sixty-six million, fifty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 49 56 58 62 98 112 116 124 196 203 217 224 232 248 392 406 434 464 496 784 812 868 899 928 992 1421 1519 1568 1624 1736 1798 2842 3038 3248 3472 3596 5684 6076 6293 6496 6944 7192 11368 12152 12586 14384 22736 24304 25172 28768 44051 45472 48608 50344 71413 88102 100688 142826 176204 201376 285652 352408 499891 571304 704816 999782 1142608 1409632 1999564 2070977 2213803 2285216 3499237 3999128 4141954 4427606 6998474 7998256 8283908 8855212 13996948 14496839 15496621 15996512 16567816 17710424 27993896 28993678 30993242 33135632 35420848 55987792 57987356 61986484 64200287 66271264 70841696 101477873 108476347 111975584 115974712 123972968 128400574 202955746 216952694 231949424 247945936 256801148 405911492 433905388 449402009 463898848 495891872 513602296 811822984 867810776 898804018 1027204592 1623645968 1735621552 1797608036 2054409184 3145814063 3247291936 3471243104 3595216072 6291628126 7190432144 12583256252 14380864288 25166512504 50333025008 100666050016