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259123990060 = 2251319101519349
BaseRepresentation
bin1111000101010011111…
…1100100111000101100
3220202211210111120112001
43301110333210320230
513221141220140220
6315012342222044
724502222400605
oct3612477447054
9822753446461
10259123990060
119a991812001
1242278124924
131b587432290
14c7824a0dac
156b18d3880a
hex3c54fe4e2c

259123990060 has 96 divisors (see below), whose sum is σ = 622970712000. Its totient is φ = 89743334400.

The previous prime is 259123990039. The next prime is 259123990063. The reversal of 259123990060 is 60099321952.

It is a super-2 number, since 2×2591239900602 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259123990063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239266 + ... + 758614.

It is an arithmetic number, because the mean of its divisors is an integer number (6489278250).

Almost surely, 2259123990060 is an apocalyptic number.

259123990060 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 259123990060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311485356000).

259123990060 is an abundant number, since it is smaller than the sum of its proper divisors (363846721940).

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

259123990060 is a wasteful number, since it uses less digits than its factorization.

259123990060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519491 (or 519489 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 259123990060 in words is "two hundred fifty-nine billion, one hundred twenty-three million, nine hundred ninety thousand, sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 101 130 190 202 247 260 380 404 494 505 988 1010 1235 1313 1919 2020 2470 2626 3838 4940 5252 6565 7676 9595 13130 19190 24947 26260 38380 49894 99788 124735 249470 498940 519349 1038698 2077396 2596745 5193490 6751537 9867631 10386980 13503074 19735262 27006148 33757685 39470524 49338155 52454249 67515370 98676310 104908498 128279203 135030740 197352620 209816996 256558406 262271245 513116812 524542490 641396015 681905237 996630731 1049084980 1282792030 1363810474 1993261462 2565584060 2727620948 3409526185 3986522924 4983153655 6819052370 9966307310 12956199503 13638104740 19932614620 25912399006 51824798012 64780997515 129561995030 259123990060