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2645784680 = 2357111794799
BaseRepresentation
bin1001110110110011…
…0111100001101000
320211101111210021012
42131230313201220
520404310102210
61114312203052
7122364540650
oct23554674150
96741453235
102645784680
111138527210
1261a099488
133321b3786
141b155d360
15107426305
hex9db37868

2645784680 has 128 divisors (see below), whose sum is σ = 7464960000. Its totient is φ = 819882240.

The previous prime is 2645784649. The next prime is 2645784709. The reversal of 2645784680 is 864875462.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548921 + ... + 553719.

It is an arithmetic number, because the mean of its divisors is an integer number (58320000).

Almost surely, 22645784680 is an apocalyptic number.

2645784680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2645784680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732480000).

2645784680 is an abundant number, since it is smaller than the sum of its proper divisors (4819175320).

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

2645784680 is a wasteful number, since it uses less digits than its factorization.

2645784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The square root of 2645784680 is about 51437.1916029637. The cubic root of 2645784680 is about 1383.0933688696.

The spelling of 2645784680 in words is "two billion, six hundred forty-five million, seven hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 179 220 280 308 358 385 440 616 716 770 895 1253 1432 1540 1790 1969 2506 3080 3580 3938 4799 5012 6265 7160 7876 9598 9845 10024 12530 13783 15752 19196 19690 23995 25060 27566 33593 38392 39380 47990 50120 52789 55132 67186 68915 78760 95980 105578 110264 134372 137830 167965 191960 211156 263945 268744 275660 335930 369523 422312 527890 551320 671860 739046 859021 1055780 1343720 1478092 1718042 1847615 2111560 2956184 3436084 3695230 4295105 6013147 6872168 7390460 8590210 9449231 12026294 14780920 17180420 18898462 24052588 30065735 34360840 37796924 47246155 48105176 60131470 66144617 75593848 94492310 120262940 132289234 188984620 240525880 264578468 330723085 377969240 529156936 661446170 1322892340 2645784680