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645442650216 = 2332721314072969
BaseRepresentation
bin10010110010001110110…
…00010100000001101000
32021201000000012212111100
421121013120110001220
541033331304301331
61212302352001400
764426446001500
oct11310730240150
92251000185440
10645442650216
11229804605271
12a5111530260
1348b32493b50
142334d61aa00
1511bc9596ae6
hex9647614068

645442650216 has 144 divisors (see below), whose sum is σ = 2189894861700. Its totient is φ = 170226620928.

The previous prime is 645442650199. The next prime is 645442650217. The reversal of 645442650216 is 612056244546.

645442650216 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 426 + 5 + 0 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 505307722500 + 140134927716 = 710850^2 + 374346^2 .

It is not an unprimeable number, because it can be changed into a prime (645442650217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6990621 + ... + 7082348.

Almost surely, 2645442650216 is an apocalyptic number.

It is an amenable number.

645442650216 is an abundant number, since it is smaller than the sum of its proper divisors (1544452211484).

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

645442650216 is a wasteful number, since it uses less digits than its factorization.

645442650216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073008 (or 14072994 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 645442650216 in words is "six hundred forty-five billion, four hundred forty-two million, six hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 14072969 28145938 42218907 56291876 84437814 98510783 112583752 126656721 168875628 182948597 197021566 253313442 295532349 337751256 365897194 394043132 506626884 548845791 591064698 689575481 731794388 788086264 886597047 1013253768 1097691582 1182129396 1280640179 1379150962 1463588776 1646537373 1773194094 2068726443 2195383164 2364258792 2561280358 2758301924 3293074746 3546388188 3841920537 4137452886 4390766328 5122560716 5516603848 6206179329 6586149492 7092776376 7683841074 8274905772 8964481253 10245121432 11525761611 12412358658 13172298984 15367682148 16549811544 17928962506 23051523222 24824717316 26893443759 30735364296 35857925012 46103046444 49649434632 53786887518 71715850024 80680331277 92206092888 107573775036 161360662554 215147550072 322721325108 645442650216