Search a number
-
+
73506250368 = 273263807509
BaseRepresentation
bin100010001110101010…
…0000101111010000000
321000201202222102011100
41010131110011322000
52201020100002433
653433542014400
75211360550635
oct1043524057200
9230652872140
1073506250368
11291a03a8951
12122b5117400
136c15991c05
1437b456018c
151da3354b13
hex111d505e80

73506250368 has 48 divisors (see below), whose sum is σ = 211521895650. Its totient is φ = 24502083072.

The previous prime is 73506250303. The next prime is 73506250379. The reversal of 73506250368 is 86305260537.

73506250368 is a `hidden beast` number, since 7 + 35 + 0 + 6 + 250 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70675159104 + 2831091264 = 265848^2 + 53208^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31902603 + ... + 31904906.

Almost surely, 273506250368 is an apocalyptic number.

It is an amenable number.

73506250368 is an abundant number, since it is smaller than the sum of its proper divisors (138015645282).

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

73506250368 is a wasteful number, since it uses less digits than its factorization.

73506250368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63807529 (or 63807514 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 73506250368 in words is "seventy-three billion, five hundred six million, two hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 63807509 127615018 191422527 255230036 382845054 510460072 574267581 765690108 1020920144 1148535162 1531380216 2041840288 2297070324 3062760432 4083680576 4594140648 6125520864 8167361152 9188281296 12251041728 18376562592 24502083456 36753125184 73506250368