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2776980980 = 225373752677
BaseRepresentation
bin1010010110000101…
…0101110111110100
321011112101020202102
42211201111313310
521141401342410
61135320201232
7125546643314
oct24541256764
97145336672
102776980980
1111a5595a04
12656009218
1335342a917
141c4b51444
15113bde2a5
hexa5855df4

2776980980 has 24 divisors (see below), whose sum is σ = 5989274088. Its totient is φ = 1080770688.

The previous prime is 2776980977. The next prime is 2776981001. The reversal of 2776980980 is 890896772.

It can be written as a sum of positive squares in 4 ways, for example, as 1662355984 + 1114624996 = 40772^2 + 33386^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1875599 + ... + 1877078.

It is an arithmetic number, because the mean of its divisors is an integer number (249553087).

Almost surely, 22776980980 is an apocalyptic number.

2776980980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2776980980 is an abundant number, since it is smaller than the sum of its proper divisors (3212293108).

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

2776980980 is a wasteful number, since it uses less digits than its factorization.

2776980980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752723 (or 3752721 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 56.

The square root of 2776980980 is about 52697.0680398824. The cubic root of 2776980980 is about 1405.5866869279.

The spelling of 2776980980 in words is "two billion, seven hundred seventy-six million, nine hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3752677 7505354 15010708 18763385 37526770 75053540 138849049 277698098 555396196 694245245 1388490490 2776980980