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205042683220242 = 23743671694539621
BaseRepresentation
bin101110100111110000111000…
…010011000001000100010010
3222212222220000010202102200120
4232213300320103001010102
5203333404403401021432
62004031150331331110
761121562556416210
oct5647607023010422
9885886003672616
10205042683220242
115a373128253a3a
121abb678b8b0a96
138a5459929568a
14388c19407dcb0
1518a896db15c2c
hexba7c384c1112

205042683220242 has 64 divisors (see below), whose sum is σ = 486726004706304. Its totient is φ = 56367165919680.

The previous prime is 205042683220213. The next prime is 205042683220261. The reversal of 205042683220242 is 242022386240502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 205042683220194 and 205042683220203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847148809 + ... + 847390812.

It is an arithmetic number, because the mean of its divisors is an integer number (7605093823536).

Almost surely, 2205042683220242 is an apocalyptic number.

205042683220242 is an abundant number, since it is smaller than the sum of its proper divisors (281683321486062).

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

205042683220242 is a wasteful number, since it uses less digits than its factorization.

205042683220242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694539743.

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 205042683220242 in words is "two hundred five trillion, forty-two billion, six hundred eighty-three million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 67 86 129 134 201 258 301 402 469 602 903 938 1407 1806 2814 2881 5762 8643 17286 20167 40334 60501 121002 1694539621 3389079242 5083618863 10167237726 11861777347 23723554694 35585332041 71170664082 72865203703 113534154607 145730407406 218595611109 227068309214 340602463821 437191222218 510056425921 681204927642 794739082249 1020112851842 1530169277763 1589478164498 2384217246747 3060338555526 4768434493494 4881968648101 9763937296202 14645905944303 29291811888606 34173780536707 68347561073414 102521341610121 205042683220242