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221749124202056 = 231143612003479623
BaseRepresentation
bin110010011010110111111101…
…110001101111111001001000
31002002011000020201212102011002
4302122313331301233321020
5213031114201243431211
62103342050305354132
764464563005626113
oct6232677561577110
91062130221772132
10221749124202056
1164724303695a70
1220a54571038948
139696b11476659
143ca8a018a357a
151a9830c28d03b
hexc9adfdc6fe48

221749124202056 has 128 divisors (see below), whose sum is σ = 471971196195840. Its totient is φ = 96788486995200.

The previous prime is 221749124202037. The next prime is 221749124202079. The reversal of 221749124202056 is 650202421947122.

It is a self number, because there is not a number n which added to its sum of digits gives 221749124202056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462100661 + ... + 462580283.

It is an arithmetic number, because the mean of its divisors is an integer number (3687274970280).

Almost surely, 2221749124202056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221749124202056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235985598097920).

221749124202056 is an abundant number, since it is smaller than the sum of its proper divisors (250222071993784).

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

221749124202056 is a wasteful number, since it uses less digits than its factorization.

221749124202056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481747 (or 481743 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 221749124202056 in words is "two hundred twenty-one trillion, seven hundred forty-nine billion, one hundred twenty-four million, two hundred two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 43 44 61 86 88 122 172 244 344 473 488 671 946 1342 1892 2003 2623 2684 3784 4006 5246 5368 8012 10492 16024 20984 22033 28853 44066 57706 86129 88132 115412 122183 172258 176264 230824 244366 344516 479623 488732 689032 947419 959246 977464 1344013 1894838 1918492 2688026 3789676 3836984 5253869 5275853 5376052 7579352 10507738 10551706 10752104 20623789 21015476 21103412 29257003 41247578 42030952 42206824 57792559 58514006 82495156 115585118 117028012 164990312 226861679 231170236 234056024 321827033 453723358 462340472 643654066 907446716 960684869 1258051129 1287308132 1814893432 1921369738 2516102258 2574616264 3842739476 5032204516 7685478952 10064409032 10567533559 13838562419 21135067118 27677124838 41309449367 42270134236 55354249676 58601777009 82618898734 84540268472 110708499352 117203554018 165237797468 234407108036 330475594936 454403943037 468814216072 644619547099 908807886074 1289239094198 1817615772148 2519876411387 2578478188396 3635231544296 5039752822774 5156956376792 10079505645548 20159011291096 27718640525257 55437281050514 110874562101028 221749124202056