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211004244264 = 233114330836029
BaseRepresentation
bin1100010010000011010…
…1010100000100101000
3202011122020201012202210
43010200311110010220
511424114041304024
6240533425125120
721146611324542
oct3044065240450
9664566635683
10211004244264
1181539438850
1234a88a897a0
1316b890a1608
14a2d9778692
15574e5a1129
hex3120d54128

211004244264 has 128 divisors (see below), whose sum is σ = 589137753600. Its totient is φ = 62423074560.

The previous prime is 211004244263. The next prime is 211004244277. The reversal of 211004244264 is 462442400112.

It is not an unprimeable number, because it can be changed into a prime (211004244263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34995202 + ... + 35001230.

It is an arithmetic number, because the mean of its divisors is an integer number (4602638700).

Almost surely, 2211004244264 is an apocalyptic number.

211004244264 is a gapful number since it is divisible by the number (24) 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 211004244264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294568876800).

211004244264 is an abundant number, since it is smaller than the sum of its proper divisors (378133509336).

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

211004244264 is a wasteful number, since it uses less digits than its factorization.

211004244264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 211004244264 its reverse (462442400112), we get a palindrome (673446644376).

The spelling of 211004244264 in words is "two hundred eleven billion, four million, two hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3083 3784 5676 6029 6166 9249 11352 12058 12332 18087 18498 24116 24664 33913 36174 36996 48232 66319 67826 72348 73992 101739 132569 132638 135652 144696 198957 203478 259247 265138 265276 271304 397707 397914 406956 518494 530276 530552 777741 795414 795828 813912 1036988 1060552 1458259 1555482 1590828 1591656 2073976 2851717 2916518 3110964 3181656 4374777 5703434 5833036 6221928 8555151 8749554 11406868 11666072 17110302 17499108 18587407 22813736 34220604 34998216 37174814 55762221 68441208 74349628 111524442 148699256 204461477 223048884 408922954 446097768 613384431 799258501 817845908 1226768862 1598517002 1635691816 2397775503 2453537724 3197034004 4795551006 4907075448 6394068008 8791843511 9591102012 17583687022 19182204024 26375530533 35167374044 52751061066 70334748088 105502122132 211004244264