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2776055640 = 2335223227457
BaseRepresentation
bin1010010101110111…
…0011111101011000
321011110122020102120
42211131303331120
521141132240030
61135244301240
7125536040451
oct24535637530
97143566376
102776055640
1111a5013766
12655841820
13353195697
141c4990128
15113aaa010
hexa5773f58

2776055640 has 128 divisors (see below), whose sum is σ = 8420751360. Its totient is φ = 732109824.

The previous prime is 2776055617. The next prime is 2776055651. The reversal of 2776055640 is 465506772.

It is a junction number, because it is equal to n+sod(n) for n = 2776055592 and 2776055601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6074292 + ... + 6074748.

It is an arithmetic number, because the mean of its divisors is an integer number (65787120).

Almost surely, 22776055640 is an apocalyptic number.

2776055640 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 2776055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210375680).

2776055640 is an abundant number, since it is smaller than the sum of its proper divisors (5644695720).

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

2776055640 is a wasteful number, since it uses less digits than its factorization.

2776055640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2776055640 is about 52688.2875030115. The cubic root of 2776055640 is about 1405.4305473304.

The spelling of 2776055640 in words is "two billion, seven hundred seventy-six million, fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 227 446 454 457 669 681 892 908 914 1115 1135 1338 1362 1371 1784 1816 1828 2230 2270 2285 2676 2724 2742 3345 3405 3656 4460 4540 4570 5352 5448 5484 6690 6810 6855 8920 9080 9140 10968 13380 13620 13710 18280 26760 27240 27420 50621 54840 101242 101911 103739 151863 202484 203822 207478 253105 303726 305733 311217 404968 407644 414956 506210 509555 518695 607452 611466 622434 759315 815288 829912 1012420 1019110 1037390 1214904 1222932 1244868 1518630 1528665 1556085 2024840 2038220 2074780 2445864 2489736 3037260 3057330 3112170 4076440 4149560 6074520 6114660 6224340 12229320 12448680 23133797 46267594 69401391 92535188 115668985 138802782 185070376 231337970 277605564 347006955 462675940 555211128 694013910 925351880 1388027820 2776055640