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218023690248 = 233271333275899
BaseRepresentation
bin1100101100001100111…
…0011000000000001000
3202211202110001000102200
43023003032120000020
512033003031041443
6244054140200200
721515554534620
oct3130316300010
9684673030380
10218023690248
1184510764481
1236307839060
1317737425750
14a7a3b17880
155a1095bdd3
hex32c3398008

218023690248 has 96 divisors (see below), whose sum is σ = 726745656000. Its totient is φ = 57500751744.

The previous prime is 218023690231. The next prime is 218023690301. The reversal of 218023690248 is 842096320812.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16631398 + ... + 16644501.

It is an arithmetic number, because the mean of its divisors is an integer number (7570267250).

Almost surely, 2218023690248 is an apocalyptic number.

218023690248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218023690248 is an abundant number, since it is smaller than the sum of its proper divisors (508721965752).

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

218023690248 is a wasteful number, since it uses less digits than its factorization.

218023690248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33275931 (or 33275924 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 218023690248 in words is "two hundred eighteen billion, twenty-three million, six hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 33275899 66551798 99827697 133103596 199655394 232931293 266207192 299483091 399310788 432586687 465862586 598966182 698793879 798621576 865173374 931725172 1197932364 1297760061 1397587758 1730346748 1863450344 2096381637 2395864728 2595520122 2795175516 3028106809 3460693496 3893280183 4192763274 5191040244 5590351032 6056213618 7786560366 8385526548 9084320427 10382080488 12112427236 15573120732 16771053096 18168640854 24224854472 27252961281 31146241464 36337281708 54505922562 72674563416 109011845124 218023690248