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2561677245400 = 2352713140751497
BaseRepresentation
bin100101010001101111110…
…111001011101111011000
3100001220010200200021002211
4211101233313023233120
5313432303333323100
65240452425404504
7353034515213410
oct45215767135730
910056120607084
102561677245400
118a8446027669
12354578639734
1315774677c710
148bdb3207640
154697d7201ba
hex2546fdcbbd8

2561677245400 has 96 divisors (see below), whose sum is σ = 7330338015840. Its totient is φ = 810728616960.

The previous prime is 2561677245377. The next prime is 2561677245431. The reversal of 2561677245400 is 45427761652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70357549 + ... + 70393948.

It is an arithmetic number, because the mean of its divisors is an integer number (76357687665).

Almost surely, 22561677245400 is an apocalyptic number.

2561677245400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561677245400 is an abundant number, since it is smaller than the sum of its proper divisors (4768660770440).

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

2561677245400 is a wasteful number, since it uses less digits than its factorization.

2561677245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140751533 (or 140751524 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 2561677245400 in words is "two trillion, five hundred sixty-one billion, six hundred seventy-seven million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 140751497 281502994 563005988 703757485 985260479 1126011976 1407514970 1829769461 1970520958 2815029940 3518787425 3659538922 3941041916 4926302395 5630059880 7037574850 7319077844 7882083832 9148847305 9852604790 12808386227 14075149700 14638155688 18297694610 19705209580 24631511975 25616772454 28150299400 36595389220 39410419160 45744236525 49263023950 51233544908 64041931135 73190778440 91488473050 98526047900 102467089816 128083862270 182976946100 197052095800 256167724540 320209655675 365953892200 512335449080 640419311350 1280838622700 2561677245400