Search a number
-
+
2086002816 = 27317319547
BaseRepresentation
bin111110001010101…
…1110000010000000
312101101011220220120
41330111132002000
513233004042231
6542554140240
7102456505602
oct17425360200
95341156816
102086002816
11980548877
124a2721680
13273229ac1
1415b085172
15c31eed96
hex7c55e080

2086002816 has 64 divisors (see below), whose sum is σ = 5866901280. Its totient is φ = 654430208.

The previous prime is 2086002811. The next prime is 2086002829. The reversal of 2086002816 is 6182006802.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2086002811) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 153246 + ... + 166301.

Almost surely, 22086002816 is an apocalyptic number.

It is an amenable number.

2086002816 is an abundant number, since it is smaller than the sum of its proper divisors (3780898464).

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

2086002816 is a wasteful number, since it uses less digits than its factorization.

2086002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319581 (or 319569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2086002816 is about 45672.7798146774. The cubic root of 2086002816 is about 1277.7276610923.

The spelling of 2086002816 in words is "two billion, eighty-six million, two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 319547 639094 958641 1278188 1917282 2556376 3834564 5112752 5432299 7669128 10225504 10864598 15338256 16296897 20451008 21729196 30676512 32593794 40902016 43458392 61353024 65187588 86916784 122706048 130375176 173833568 260750352 347667136 521500704 695334272 1043001408 2086002816