Search a number
-
+
2776000000 = 2956347
BaseRepresentation
bin1010010101110110…
…0110011000000000
321011110112102002211
42211131212120000
521141124000000
61135243151504
7125535416314
oct24535463000
97143472084
102776000000
1111a4a85984
12655815594
13353176267
141c4977b44
15113a987ba
hexa5766600

2776000000 has 140 divisors (see below), whose sum is σ = 6953114124. Its totient is φ = 1107200000.

The previous prime is 2775999983. The next prime is 2776000009. The reversal of 2776000000 is 6772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2776000009) 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 13 ways as a sum of consecutive naturals, for example, 7999827 + ... + 8000173.

Almost surely, 22776000000 is an apocalyptic number.

2776000000 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 2776000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476557062).

2776000000 is an abundant number, since it is smaller than the sum of its proper divisors (4177114124).

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

2776000000 is an frugal number, since it uses more digits than its factorization.

2776000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 2776000000 is about 52687.7594892780. The cubic root of 2776000000 is about 1405.4211576677.

Adding to 2776000000 its reverse (6772), we get a palindrome (2776006772).

The spelling of 2776000000 in words is "two billion, seven hundred seventy-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 347 400 500 512 625 640 694 800 1000 1250 1280 1388 1600 1735 2000 2500 2560 2776 3125 3200 3470 4000 5000 5552 6250 6400 6940 8000 8675 10000 11104 12500 12800 13880 15625 16000 17350 20000 22208 25000 27760 31250 32000 34700 40000 43375 44416 50000 55520 62500 64000 69400 80000 86750 88832 100000 111040 125000 138800 160000 173500 177664 200000 216875 222080 250000 277600 320000 347000 400000 433750 444160 500000 555200 694000 800000 867500 888320 1000000 1084375 1110400 1388000 1600000 1735000 2000000 2168750 2220800 2776000 3470000 4000000 4337500 4441600 5421875 5552000 6940000 8000000 8675000 10843750 11104000 13880000 17350000 21687500 22208000 27760000 34700000 43375000 55520000 69400000 86750000 111040000 138800000 173500000 277600000 347000000 555200000 694000000 1388000000 2776000000