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23368866120 = 2334521134183
BaseRepresentation
bin10101110000111001…
…001001100101001000
32020022121122101210000
4111300321021211020
5340324412203440
614422511523000
71455050041005
oct256071114510
966277571700
1023368866120
119a0212aaa6
124642229460
13228561c642
1411b98aa8ac
1591b8c3730
hex570e49948

23368866120 has 160 divisors (see below), whose sum is σ = 78919917120. Its totient is φ = 6201982080.

The previous prime is 23368866113. The next prime is 23368866139. The reversal of 23368866120 is 2166886332.

It is a happy number.

23368866120 is a `hidden beast` number, since 23 + 3 + 6 + 8 + 8 + 6 + 612 + 0 = 666.

It is a super-2 number, since 2×233688661202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 666549 + ... + 700731.

It is an arithmetic number, because the mean of its divisors is an integer number (493249482).

Almost surely, 223368866120 is an apocalyptic number.

23368866120 is a gapful number since it is divisible by the number (20) 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 23368866120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39459958560).

23368866120 is an abundant number, since it is smaller than the sum of its proper divisors (55551051000).

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

23368866120 is a wasteful number, since it uses less digits than its factorization.

23368866120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34417 (or 34404 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 23368866120 in words is "twenty-three billion, three hundred sixty-eight million, eight hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 211 216 270 324 360 405 422 540 633 648 810 844 1055 1080 1266 1620 1688 1899 2110 2532 3165 3240 3798 4220 5064 5697 6330 7596 8440 9495 11394 12660 15192 17091 18990 22788 25320 28485 34182 34183 37980 45576 56970 68364 68366 75960 85455 102549 113940 136728 136732 170910 170915 205098 227880 273464 307647 341820 341830 410196 512745 615294 683640 683660 820392 922941 1025490 1230588 1367320 1538235 1845882 2050980 2461176 2768823 3076470 3691764 4101960 4614705 5537646 6152940 7212613 7383528 9229410 11075292 12305880 13844115 14425226 18458820 21637839 22150584 27688230 28850452 36063065 36917640 43275678 55376460 57700904 64913517 72126130 86551356 108189195 110752920 129827034 144252260 173102712 194740551 216378390 259654068 288504520 324567585 389481102 432756780 519308136 584221653 649135170 778962204 865513560 973702755 1168443306 1298270340 1557924408 1947405510 2336886612 2596540680 2921108265 3894811020 4673773224 5842216530 7789622040 11684433060 23368866120