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211364860476 = 223711811282059
BaseRepresentation
bin1100010011011001010…
…0111101001000111100
3202012120101021102012210
43010312110331020330
511430333401013401
6241033310300420
721161550446010
oct3046624751074
9665511242183
10211364860476
1181703a54080
1234b697b7710
1316c15a039a3
14a33160a540
1557710854d6
hex313653d23c

211364860476 has 96 divisors (see below), whose sum is σ = 615639951360. Its totient is φ = 54832075200.

The previous prime is 211364860471. The next prime is 211364860507. The reversal of 211364860476 is 674068463112.

211364860476 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211364860471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608335 + ... + 890393.

It is an arithmetic number, because the mean of its divisors is an integer number (6412916160).

Almost surely, 2211364860476 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 211364860476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307819975680).

211364860476 is an abundant number, since it is smaller than the sum of its proper divisors (404275090884).

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

211364860476 is a wasteful number, since it uses less digits than its factorization.

211364860476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282895 (or 282893 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 211364860476 in words is "two hundred eleven billion, three hundred sixty-four million, eight hundred sixty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 811 924 1622 2433 3244 4866 5677 8921 9732 11354 17031 17842 22708 26763 34062 35684 53526 62447 68124 107052 124894 187341 249788 282059 374682 564118 749364 846177 1128236 1692354 1974413 3102649 3384708 3948826 5923239 6205298 7897652 9307947 11846478 12410596 18615894 21718543 23692956 37231788 43437086 65155629 86874172 130311258 228749849 260622516 457499698 686249547 914999396 1372499094 1601248943 2516248339 2744998188 3202497886 4803746829 5032496678 6404995772 7548745017 9607493658 10064993356 15097490034 17613738373 19214987316 30194980068 35227476746 52841215119 70454953492 105682430238 211364860476