Search a number
-
+
73307063016 = 23331122804831
BaseRepresentation
bin100010001000101110…
…0010000001011101000
321000012220011122111000
41010101130100023220
52200113102004031
653402104435000
75203421516535
oct1042134201350
9230186148430
1073307063016
11290a8a20500
121225a478a60
136bb3630785
143795d0dd8c
151d90b0b3e6
hex11117102e8

73307063016 has 96 divisors (see below), whose sum is σ = 223825593600. Its totient is φ = 22214253600.

The previous prime is 73307063003. The next prime is 73307063021. The reversal of 73307063016 is 61036070337.

73307063016 is a `hidden beast` number, since 7 + 3 + 3 + 0 + 7 + 0 + 630 + 16 = 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376280 + ... + 1428551.

It is an arithmetic number, because the mean of its divisors is an integer number (2331516600).

Almost surely, 273307063016 is an apocalyptic number.

It is an amenable number.

73307063016 is an abundant number, since it is smaller than the sum of its proper divisors (150518530584).

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

73307063016 is a wasteful number, since it uses less digits than its factorization.

73307063016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804868 (or 2804847 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 73307063016 in words is "seventy-three billion, three hundred seven million, sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 2804831 5609662 8414493 11219324 16828986 22438648 25243479 30853141 33657972 50486958 61706282 67315944 75730437 92559423 100973916 123412564 151460874 185118846 201947832 246825128 277678269 302921748 339384551 370237692 555356538 605843496 678769102 740475384 833034807 1018153653 1110713076 1357538204 1666069614 2036307306 2221426152 2715076408 3054460959 3332139228 4072614612 6108921918 6664278456 8145229224 9163382877 12217843836 18326765754 24435687672 36653531508 73307063016