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23364934866 = 2347131983417
BaseRepresentation
bin10101110000101010…
…001001110011010010
32020022100020200010000
4111300222021303102
5340322410403431
614422251350430
71455001445430
oct256052116322
966270220100
1023364934866
1199aa995429
124640a52416
132284874160
1411b9165d50
1591b3989e6
hex570a89cd2

23364934866 has 160 divisors (see below), whose sum is σ = 67828844160. Its totient is φ = 5837785344.

The previous prime is 23364934783. The next prime is 23364934877. The reversal of 23364934866 is 66843946332.

23364934866 is a `hidden beast` number, since 23 + 36 + 493 + 48 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238390 + ... + 321806.

It is an arithmetic number, because the mean of its divisors is an integer number (423930276).

Almost surely, 223364934866 is an apocalyptic number.

23364934866 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23364934866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33914422080).

23364934866 is an abundant number, since it is smaller than the sum of its proper divisors (44463909294).

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

23364934866 is a wasteful number, since it uses less digits than its factorization.

23364934866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83470 (or 83461 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 23364934866 in words is "twenty-three billion, three hundred sixty-four million, nine hundred thirty-four thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 81 91 114 117 126 133 162 171 182 189 234 247 266 273 342 351 378 399 494 513 546 567 702 741 798 819 1026 1053 1134 1197 1482 1539 1638 1729 2106 2223 2394 2457 3078 3458 3591 4446 4914 5187 6669 7182 7371 10374 10773 13338 14742 15561 20007 21546 31122 40014 46683 83417 93366 140049 166834 250251 280098 500502 583919 750753 1084421 1167838 1501506 1584923 1751757 2168842 2252259 3169846 3253263 3503514 4504518 4754769 5255271 6506526 6756777 7590947 9509538 9759789 10510542 11094461 13513554 14264307 15181894 15765813 19519578 20603999 22188922 22772841 28528614 29279367 31531626 33283383 41207998 42792921 45545682 47297439 58558734 61811997 66566766 68318523 85585842 87838101 94594878 99850149 123623994 128378763 136637046 144227993 175676202 185435991 199700298 204955569 256757526 288455986 299550447 370871982 409911138 432683979 556307973 599100894 614866707 865367958 898651341 1112615946 1229733414 1298051937 1668923919 1797302682 2596103874 3337847838 3894155811 7788311622 11682467433 23364934866