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20489874165348 = 22372291979607181
BaseRepresentation
bin1001010100010101010111…
…01010111100111001100100
32200112210221120010112002020
410222022223222330321210
510141201230241242343
6111324530201343140
74213226116514400
oct452125352747144
980483846115066
1020489874165348
11658a785884045
12236b0a9497ab0
13b58257656773
1450ba02724100
15257ec6a51b83
hex12a2ababce64

20489874165348 has 144 divisors (see below), whose sum is σ = 57562310836800. Its totient is φ = 5649513596160.

The previous prime is 20489874165347. The next prime is 20489874165359. The reversal of 20489874165348 is 84356147898402.

It is a super-2 number, since 2×204898741653482 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20489874165347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33442318 + ... + 34049498.

It is an arithmetic number, because the mean of its divisors is an integer number (399738269700).

It is a 1-persistent number, because it is pandigital, but 2⋅20489874165348 = 40979748330696 is not.

Almost surely, 220489874165348 is an apocalyptic number.

20489874165348 is a gapful number since it is divisible by the number (28) 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 20489874165348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28781155418400).

20489874165348 is an abundant number, since it is smaller than the sum of its proper divisors (37072436671452).

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

20489874165348 is a wasteful number, since it uses less digits than its factorization.

20489874165348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609210 (or 609201 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 20489874165348 in words is "twenty trillion, four hundred eighty-nine billion, eight hundred seventy-four million, one hundred sixty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 1979 2436 2842 3958 4263 5684 5937 7916 8526 11874 13853 17052 23748 27706 41559 55412 57391 83118 96971 114782 166236 172173 193942 229564 290913 344346 387884 401737 581826 607181 688692 803474 1163652 1205211 1214362 1606948 1821543 2410422 2428724 2812159 3643086 4250267 4820844 5624318 7286172 8436477 8500534 11248636 12750801 16872954 17001068 17608249 25501602 29751869 33745908 35216498 51003204 52824747 59503738 70432996 89255607 105649494 119007476 123257743 178511214 211298988 246515486 357022428 369773229 493030972 739546458 862804201 1201611199 1479092916 1725608402 2403222398 2588412603 3451216804 3604833597 4806444796 5176825206 7209667194 8411278393 10353650412 14419334388 16822556786 25233835179 33645113572 34846724771 50467670358 58878948751 69693449542 100935340716 104540174313 117757897502 139386899084 176636846253 209080348626 235515795004 243927073397 353273692506 418160697252 487854146794 706547385012 731781220191 975708293588 1463562440382 1707489513779 2927124880764 3414979027558 5122468541337 6829958055116 10244937082674 20489874165348