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201061365516 = 22321117139214867
BaseRepresentation
bin1011101101000000110…
…0001111011100001100
3201012222022102122021100
42323100030033130030
511243233202144031
6232211042503100
720345326260054
oct2732014173414
9635868378240
10201061365516
11782a6998890
1232b73064a90
1315c631939cb
149a35044564
15536b727de6
hex2ed030f70c

201061365516 has 144 divisors (see below), whose sum is σ = 591282357120. Its totient is φ = 56930895360.

The previous prime is 201061365509. The next prime is 201061365529. The reversal of 201061365516 is 615563160102.

201061365516 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 6 + 136 + 5 + 516 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828315 + ... + 1043181.

It is an arithmetic number, because the mean of its divisors is an integer number (4106127480).

Almost surely, 2201061365516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201061365516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295641178560).

201061365516 is an abundant number, since it is smaller than the sum of its proper divisors (390220991604).

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

201061365516 is a wasteful number, since it uses less digits than its factorization.

201061365516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215044 (or 215039 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 201061365516 in words is "two hundred one billion, sixty-one million, three hundred sixty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 139 153 187 198 204 278 306 374 396 417 556 561 612 748 834 1122 1251 1529 1668 1683 2244 2363 2502 3058 3366 4587 4726 5004 6116 6732 7089 9174 9452 13761 14178 18348 21267 25993 27522 28356 42534 51986 55044 77979 85068 103972 155958 214867 233937 311916 429734 467874 644601 859468 935748 1289202 1933803 2363537 2578404 3652739 3867606 4727074 7090611 7305478 7735212 9454148 10958217 14181222 14610956 21271833 21916434 28362444 29866513 32874651 40180129 42543666 43832868 59733026 65749302 80360258 85087332 89599539 119466052 120540387 131498604 160720516 179199078 241080774 268798617 328531643 358398156 361621161 482161548 507730721 537597234 657063286 723242322 985594929 1015461442 1075194468 1314126572 1446484644 1523192163 1971189858 2030922884 2956784787 3046384326 3942379716 4569576489 5585037931 5913569574 6092768652 9139152978 11170075862 11827139148 16755113793 18278305956 22340151724 33510227586 50265341379 67020455172 100530682758 201061365516