Search a number
-
+
77989927008 = 2537967120017
BaseRepresentation
bin100100010100010001…
…1111101100001100000
321110022020210210020010
41020220203331201200
52234210410131013
655454510444520
75430443304330
oct1105043754140
9243266723203
1077989927008
113009130a534
1213146803740
13747b871906
143abbc1b0c0
152066cbb7c3
hex12288fd860

77989927008 has 96 divisors (see below), whose sum is σ = 234213686784. Its totient is φ = 22259607552.

The previous prime is 77989926997. The next prime is 77989927009. The reversal of 77989927008 is 80072998977.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 77989927008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77989927009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589816 + ... + 709832.

It is an arithmetic number, because the mean of its divisors is an integer number (2439725904).

Almost surely, 277989927008 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 77989927008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117106843392).

77989927008 is an abundant number, since it is smaller than the sum of its proper divisors (156223759776).

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

77989927008 is a wasteful number, since it uses less digits than its factorization.

77989927008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121004 (or 120996 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 66.

The spelling of 77989927008 in words is "seventy-seven billion, nine hundred eighty-nine million, nine hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 967 1934 2901 3868 5802 6769 7736 11604 13538 15472 20307 23208 27076 30944 40614 46416 54152 81228 92832 108304 120017 162456 216608 240034 324912 360051 480068 649824 720102 840119 960136 1440204 1680238 1920272 2520357 2880408 3360476 3840544 5040714 5760816 6720952 10081428 11521632 13441904 20162856 26883808 40325712 80651424 116056439 232112878 348169317 464225756 696338634 812395073 928451512 1392677268 1624790146 1856903024 2437185219 2785354536 3249580292 3713806048 4874370438 5570709072 6499160584 9748740876 11141418144 12998321168 19497481752 25996642336 38994963504 77989927008