Search a number
-
+
76048900317 = 32132291724113
BaseRepresentation
bin100011011010011011…
…1100010000011011101
321021021222102102011200
41012310313202003131
52221222004302232
654534131510113
75331363662355
oct1066467420335
9237258372150
1076048900317
112a285692445
12128a4758339
13722c6a5100
143976113b65
151ea16a777c
hex11b4de20dd

76048900317 has 36 divisors (see below), whose sum is σ = 123050016180. Its totient is φ = 45185527296.

The previous prime is 76048900289. The next prime is 76048900327. The reversal of 76048900317 is 71300984067.

76048900317 is a `hidden beast` number, since 7 + 604 + 8 + 9 + 0 + 0 + 31 + 7 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2013561 + 76046886756 = 1419^2 + 275766^2 .

It is not a de Polignac number, because 76048900317 - 226 = 75981791453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76048900327) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 817948 + ... + 906165.

It is an arithmetic number, because the mean of its divisors is an integer number (3418056005).

Almost surely, 276048900317 is an apocalyptic number.

It is an amenable number.

76048900317 is a deficient number, since it is larger than the sum of its proper divisors (47001115863).

76048900317 is a wasteful number, since it uses less digits than its factorization.

76048900317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724174 (or 1724158 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 76048900317 in words is "seventy-six billion, forty-eight million, nine hundred thousand, three hundred seventeen".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 1131 1521 3393 4901 14703 44109 1724113 5172339 15517017 22413469 49999277 67240407 149997831 201721221 291375097 449993493 649990601 874125291 1949971803 2622375873 5849915409 8449877813 25349633439 76048900317