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16464045780 = 223257131005131
BaseRepresentation
bin11110101010101010…
…10110011011010100
31120111102000011221100
433111111112123110
5232204243431110
611321413350100
71121665036320
oct172525263324
946442004840
1016464045780
116a89585306
123235938330
131724c60130
14b22848980
1566560abc0
hex3d55566d4

16464045780 has 144 divisors (see below), whose sum is σ = 61465832064. Its totient is φ = 3473729280.

The previous prime is 16464045749. The next prime is 16464045803. The reversal of 16464045780 is 8754046461.

16464045780 is a `hidden beast` number, since 1 + 64 + 64 + 0 + 457 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486186 + ... + 518945.

It is an arithmetic number, because the mean of its divisors is an integer number (426846056).

Almost surely, 216464045780 is an apocalyptic number.

16464045780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16464045780 is an abundant number, since it is smaller than the sum of its proper divisors (45001786284).

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

16464045780 is a wasteful number, since it uses less digits than its factorization.

16464045780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005166 (or 1005161 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16464045780 in words is "sixteen billion, four hundred sixty-four million, forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 1005131 2010262 3015393 4020524 5025655 6030786 7035917 9046179 10051310 12061572 13066703 14071834 15076965 18092358 20102620 21107751 26133406 28143668 30153930 35179585 36184716 39200109 42215502 45230895 52266812 60307860 63323253 65333515 70359170 78400218 84431004 90461790 91466921 105538755 117600327 126646506 130667030 140718340 156800436 180923580 182933842 196000545 211077510 235200654 253293012 261334060 274400763 316616265 365867684 392001090 422155020 457334605 470401308 548801526 588001635 633232530 784002180 823202289 914669210 1097603052 1176003270 1266465060 1372003815 1646404578 1829338420 2352006540 2744007630 3292809156 4116011445 5488015260 8232022890 16464045780