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42650101520 = 24513231819851
BaseRepresentation
bin100111101110001001…
…001110011100010000
311002002100200122100122
4213232021032130100
51144321411222040
631332043405412
73036623611205
oct475611163420
9132070618318
1042650101520
11170a6963594
128323523868
134039117b80
1420c8531cac
1511994b21b5
hex9ee24e710

42650101520 has 160 divisors (see below), whose sum is σ = 112059327744. Its totient is φ = 14978304000.

The previous prime is 42650101513. The next prime is 42650101523. The reversal of 42650101520 is 2510105624.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42650101520.

It is not an unprimeable number, because it can be changed into a prime (42650101523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4324595 + ... + 4334445.

Almost surely, 242650101520 is an apocalyptic number.

42650101520 is a gapful number since it is divisible by the number (40) 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 42650101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56029663872).

42650101520 is an abundant number, since it is smaller than the sum of its proper divisors (69409226224).

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

42650101520 is a wasteful number, since it uses less digits than its factorization.

42650101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 42650101520 in words is "forty-two billion, six hundred fifty million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 181 184 208 230 260 299 362 368 460 520 598 724 905 920 1040 1196 1448 1495 1810 1840 2353 2392 2896 2990 3620 4163 4706 4784 5980 7240 8326 9412 9851 11765 11960 14480 16652 18824 19702 20815 23530 23920 33304 37648 39404 41630 47060 49255 54119 66608 78808 83260 94120 98510 108238 128063 157616 166520 188240 197020 216476 226573 256126 270595 333040 394040 432952 453146 512252 541190 640315 788080 865904 906292 1024504 1082380 1132865 1280630 1783031 1812584 2049008 2164760 2265730 2561260 2945449 3566062 3625168 4329520 4531460 5122520 5890898 7132124 8915155 9062920 10245040 11781796 14264248 14727245 17830310 18125840 23179403 23563592 28528496 29454490 35660620 41009713 46358806 47127184 58908980 71321240 82019426 92717612 115897015 117817960 142642480 164038852 185435224 205048565 231794030 235635920 328077704 370870448 410097130 463588060 533126269 656155408 820194260 927176120 1066252538 1640388520 1854352240 2132505076 2665631345 3280777040 4265010152 5331262690 8530020304 10662525380 21325050760 42650101520