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2774906368 = 2913735711
BaseRepresentation
bin1010010101100101…
…1011011000000000
321011101110211220221
42211121123120000
521140334000433
61135203512424
7125523213013
oct24531333000
97141424827
102774906368
1111a43a9253
12655388714
13352b82540
141c477137a
1511392e72d
hexa565b600

2774906368 has 80 divisors (see below), whose sum is σ = 6053737536. Its totient is φ = 1262960640.

The previous prime is 2774906359. The next prime is 2774906411. The reversal of 2774906368 is 8636094772.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 7 ways as a sum of consecutive naturals, for example, 483033 + ... + 488743.

Almost surely, 22774906368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2774906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026868768).

2774906368 is an abundant number, since it is smaller than the sum of its proper divisors (3278831168).

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

2774906368 is an equidigital number, since it uses as much as digits as its factorization.

2774906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The square root of 2774906368 is about 52677.3800411524. The cubic root of 2774906368 is about 1405.2365736816.

The spelling of 2774906368 in words is "two billion, seven hundred seventy-four million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 256 292 416 512 584 832 949 1168 1664 1898 2336 3328 3796 4672 5711 6656 7592 9344 11422 15184 18688 22844 30368 37376 45688 60736 74243 91376 121472 148486 182752 242944 296972 365504 416903 485888 593944 731008 833806 1187888 1462016 1667612 2375776 2924032 3335224 4751552 5419739 6670448 9503104 10839478 13340896 19006208 21678956 26681792 38012416 43357912 53363584 86715824 106727168 173431648 213454336 346863296 693726592 1387453184 2774906368