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20660564232 = 23327211532379
BaseRepresentation
bin10011001111011101…
…110011000100001000
31222022212111102000200
4103033131303010020
5314303101023412
613254043332200
71330662620100
oct231735630410
958285442020
1020660564232
118842393780
124007221060
131c434ba249
14dddd16200
1580dc4d9dc
hex4cf773108

20660564232 has 144 divisors (see below), whose sum is σ = 71008844400. Its totient is φ = 5366370240.

The previous prime is 20660564227. The next prime is 20660564293. The reversal of 20660564232 is 23246506602.

20660564232 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 0 + 5 + 642 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 227382 + ... + 304997.

It is an arithmetic number, because the mean of its divisors is an integer number (493116975).

Almost surely, 220660564232 is an apocalyptic number.

20660564232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20660564232 is an abundant number, since it is smaller than the sum of its proper divisors (50348280168).

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

20660564232 is a wasteful number, since it uses less digits than its factorization.

20660564232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532416 (or 532402 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20660564232 in words is "twenty billion, six hundred sixty million, five hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 5544 6468 9702 12936 19404 38808 532379 1064758 1597137 2129516 3194274 3726653 4259032 4791411 5856169 6388548 7453306 9582822 11179959 11712338 12777096 14906612 17568507 19165644 22359918 23424676 26086571 29813224 33539877 35137014 38331288 40993183 44719836 46849352 52173142 52705521 67079754 70274028 78259713 81986366 89439672 104346284 105411042 122979549 134159508 140548056 156519426 163972732 208692568 210822084 234779139 245959098 268319016 286952281 313038852 327945464 368938647 421644168 469558278 491918196 573904562 626077704 737877294 860856843 939116556 983836392 1147809124 1475754588 1721713686 1878233112 2295618248 2582570529 2951509176 3443427372 5165141058 6886854744 10330282116 20660564232