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218295000060 = 223517921196329
BaseRepresentation
bin1100101101001101100…
…1010101101111111100
3202212110100112222112020
43023103121111233330
512034032010000220
6244141111240140
721525360612414
oct3132331255774
9685410488466
10218295000060
118463a922565
1236382679050
131777b6b97b7
14a7cbb7d644
155a296a0040
hex32d3655bfc

218295000060 has 96 divisors (see below), whose sum is σ = 617560070400. Its totient is φ = 57611850240.

The previous prime is 218295000037. The next prime is 218295000061. The reversal of 218295000060 is 60000592812.

It is a junction number, because it is equal to n+sod(n) for n = 218294999985 and 218295000030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218295000061) 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 31 ways as a sum of consecutive naturals, for example, 2217976 + ... + 2314304.

It is an arithmetic number, because the mean of its divisors is an integer number (6432917400).

Almost surely, 2218295000060 is an apocalyptic number.

218295000060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218295000060 is an abundant number, since it is smaller than the sum of its proper divisors (399265070340).

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

218295000060 is a wasteful number, since it uses less digits than its factorization.

218295000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96731 (or 96729 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 218295000060 its reverse (60000592812), we get a palindrome (278295592872).

The spelling of 218295000060 in words is "two hundred eighteen billion, two hundred ninety-five million, sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 211 358 422 537 633 716 844 895 1055 1074 1266 1790 2110 2148 2532 2685 3165 3580 4220 5370 6330 10740 12660 37769 75538 96329 113307 151076 188845 192658 226614 288987 377690 385316 453228 481645 566535 577974 755380 963290 1133070 1155948 1444935 1926580 2266140 2889870 5779740 17242891 20325419 34485782 40650838 51728673 60976257 68971564 81301676 86214455 101627095 103457346 121952514 172428910 203254190 206914692 243905028 258643365 304881285 344857820 406508380 517286730 609762570 1034573460 1219525140 3638250001 7276500002 10914750003 14553000004 18191250005 21829500006 36382500010 43659000012 54573750015 72765000020 109147500030 218295000060