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2768933856 = 253132170669
BaseRepresentation
bin1010010100001010…
…1001001111100000
321010222020102011210
42211002221033200
521132321340411
61134431510120
7125421356313
oct24502511740
97128212153
102768933856
1111a0a99a97
12653388340
13351870c00
141c3a5897a
1511314eca6
hexa50a93e0

2768933856 has 72 divisors (see below), whose sum is σ = 7870617720. Its totient is φ = 851974656.

The previous prime is 2768933831. The next prime is 2768933861. The reversal of 2768933856 is 6583398672.

It is a junction number, because it is equal to n+sod(n) for n = 2768933796 and 2768933805.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 69111 + ... + 101558.

It is an arithmetic number, because the mean of its divisors is an integer number (109314135).

Almost surely, 22768933856 is an apocalyptic number.

2768933856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2768933856 is an abundant number, since it is smaller than the sum of its proper divisors (5101683864).

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

2768933856 is a wasteful number, since it uses less digits than its factorization.

2768933856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170708 (or 170687 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 2768933856 is about 52620.6599730562. The cubic root of 2768933856 is about 1404.2276722694.

The spelling of 2768933856 in words is "two billion, seven hundred sixty-eight million, nine hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 170669 341338 512007 682676 1024014 1365352 2048028 2218697 2730704 4096056 4437394 5461408 6656091 8192112 8874788 13312182 16384224 17749576 26624364 28843061 35499152 53248728 57686122 70998304 86529183 106497456 115372244 173058366 212994912 230744488 346116732 461488976 692233464 922977952 1384466928 2768933856