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2769028704 = 253213857863
BaseRepresentation
bin1010010100001100…
…0000011001100000
321010222102020021200
42211003000121200
521132332404304
61134433521200
7125422232661
oct24503003140
97128366250
102769028704
1111a1054282
12653413200
133518a5130
141c3a81368
1511316ce39
hexa50c0660

2769028704 has 144 divisors (see below), whose sum is σ = 8499883392. Its totient is φ = 850028544.

The previous prime is 2769028667. The next prime is 2769028709. The reversal of 2769028704 is 4078209672.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2769028704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769028709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208177 + ... + 3209039.

It is an arithmetic number, because the mean of its divisors is an integer number (59026968).

Almost surely, 22769028704 is an apocalyptic number.

2769028704 is a gapful number since it is divisible by the number (24) 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 2769028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249941696).

2769028704 is an abundant number, since it is smaller than the sum of its proper divisors (5730854688).

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

2769028704 is a wasteful number, since it uses less digits than its factorization.

2769028704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2769028704 is about 52621.5612083108. The cubic root of 2769028704 is about 1404.2437057167.

The spelling of 2769028704 in words is "two billion, seven hundred sixty-nine million, twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 857 863 936 1248 1714 1726 1872 2571 2589 3428 3452 3744 5142 5178 6856 6904 7713 7767 10284 10356 11141 11219 13712 13808 15426 15534 20568 20712 22282 22438 27424 27616 30852 31068 33423 33657 41136 41424 44564 44876 61704 62136 66846 67314 82272 82848 89128 89752 100269 100971 123408 124272 133692 134628 178256 179504 200538 201942 246816 248544 267384 269256 356512 359008 401076 403884 534768 538512 739591 802152 807768 1069536 1077024 1479182 1604304 1615536 2218773 2958364 3208608 3231072 4437546 5916728 6656319 8875092 9614683 11833456 13312638 17750184 19229366 23666912 26625276 28844049 35500368 38458732 53250552 57688098 71000736 76917464 86532147 106501104 115376196 153834928 173064294 213002208 230752392 307669856 346128588 461504784 692257176 923009568 1384514352 2769028704