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557115685728 = 25372421281317
BaseRepresentation
bin10000001101101101010…
…11101011101101100000
31222021000100110011122020
420012312223223231200
533111433103420403
61103534014341440
755151563123500
oct10066653535540
91867010404566
10557115685728
111a52a930a558
128bb80aba880
13406c7169a14
141cd709c5a00
15e75a044453
hex81b6aebb60

557115685728 has 144 divisors (see below), whose sum is σ = 1705239439344. Its totient is φ = 158797255680.

The previous prime is 557115685699. The next prime is 557115685733. The reversal of 557115685728 is 827586511755.

It is a happy number.

557115685728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1839726 + ... + 2121042.

It is an arithmetic number, because the mean of its divisors is an integer number (11841940551).

Almost surely, 2557115685728 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 557115685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852619719672).

557115685728 is an abundant number, since it is smaller than the sum of its proper divisors (1148123753616).

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

557115685728 is a wasteful number, since it uses less digits than its factorization.

557115685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281765 (or 281750 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 60.

The spelling of 557115685728 in words is "five hundred fifty-seven billion, one hundred fifteen million, six hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 421 588 672 784 842 1176 1263 1568 1684 2352 2526 2947 3368 4704 5052 5894 6736 8841 10104 11788 13472 17682 20208 20629 23576 35364 40416 41258 47152 61887 70728 82516 94304 123774 141456 165032 247548 281317 282912 330064 495096 562634 660128 843951 990192 1125268 1687902 1969219 1980384 2250536 3375804 3938438 4501072 5907657 6751608 7876876 9002144 11815314 13503216 13784533 15753752 23630628 27006432 27569066 31507504 41353599 47261256 55138132 63015008 82707198 94522512 110276264 118434457 165414396 189045024 220552528 236868914 330828792 355303371 441105056 473737828 661657584 710606742 829041199 947475656 1323315168 1421213484 1658082398 1894951312 2487123597 2842426968 3316164796 3789902624 4974247194 5684853936 5803288393 6632329592 9948494388 11369707872 11606576786 13264659184 17409865179 19896988776 23213153572 26529318368 34819730358 39793977552 46426307144 69639460716 79587955104 92852614288 139278921432 185705228576 278557842864 557115685728