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104140626660 = 223257797103703
BaseRepresentation
bin110000011111101000…
…0111101101011100100
3100221210201221222012200
41200333100331223210
53201240000023120
6115501435014500
710344462502230
oct1407720755344
9327721858180
10104140626660
114019073a204
121822459a430
139a885ca7a5
14507cd3d5c0
152a979dbe90
hex183f43dae4

104140626660 has 144 divisors (see below), whose sum is σ = 361477299456. Its totient is φ = 23773476096.

The previous prime is 104140626617. The next prime is 104140626661. The reversal of 104140626660 is 66626041401.

It is a super-2 number, since 2×1041406266602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104140626661) 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, 952369 + ... + 1056071.

It is an arithmetic number, because the mean of its divisors is an integer number (2510259024).

Almost surely, 2104140626660 is an apocalyptic number.

104140626660 is a gapful number since it is divisible by the number (10) 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 104140626660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180738649728).

104140626660 is an abundant number, since it is smaller than the sum of its proper divisors (257336672796).

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

104140626660 is a wasteful number, since it uses less digits than its factorization.

104140626660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104522 (or 104517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 104140626660 in words is "one hundred four billion, one hundred forty million, six hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 797 1260 1594 2391 3188 3985 4782 5579 7173 7970 9564 11158 11955 14346 15940 16737 22316 23910 27895 28692 33474 35865 47820 50211 55790 66948 71730 83685 100422 103703 111580 143460 167370 200844 207406 251055 311109 334740 414812 502110 518515 622218 725921 933327 1004220 1037030 1244436 1451842 1555545 1866654 2074060 2177763 2903684 3111090 3629605 3733308 4355526 4666635 6222180 6533289 7259210 8711052 9333270 10888815 13066578 14518420 18666540 21777630 26133156 32666445 43555260 65332890 82651291 130665780 165302582 247953873 330605164 413256455 495907746 578559037 743861619 826512910 991815492 1157118074 1239769365 1487723238 1653025820 1735677111 2314236148 2479538730 2892795185 2975446476 3471354222 3719308095 4959077460 5207031333 5785590370 6942708444 7438616190 8678385555 10414062666 11571180740 14877232380 17356771110 20828125332 26035156665 34713542220 52070313330 104140626660