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556856227984 = 24722929192
BaseRepresentation
bin10000001101001110011…
…01111011100010010000
31222020100021020100112011
420012213031323202100
533110420143243414
61103452145312304
755142262561100
oct10064715734220
91866307210464
10556856227984
111a5185907071
128bb0a035694
1340685495524
141cd48367200
15e742392dc4
hex81a737b890

556856227984 has 135 divisors (see below), whose sum is σ = 1301243451417. Its totient is φ = 230172534144.

The previous prime is 556856227927. The next prime is 556856228017. The reversal of 556856227984 is 489722658655.

The square root of 556856227984 is 746228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 292001898384 + 264854329600 = 540372^2 + 514640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 605936677 + ... + 605937595.

Almost surely, 2556856227984 is an apocalyptic number.

556856227984 is the 746228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556856227984

556856227984 is an abundant number, since it is smaller than the sum of its proper divisors (744387223433).

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

556856227984 is an frugal number, since it uses more digits than its factorization.

556856227984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 957 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 67.

The spelling of 556856227984 in words is "five hundred fifty-six billion, eight hundred fifty-six million, two hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 841 919 1421 1624 1682 1838 2842 3248 3364 3676 5684 5887 6433 6728 7352 11368 11774 12866 13456 14704 22736 23548 25732 26651 41209 45031 47096 51464 53302 82418 90062 94192 102928 106604 164836 180124 186557 213208 329672 360248 373114 426416 659344 720496 746228 772879 844561 1305899 1492456 1545758 1689122 2611798 2984912 3091516 3378244 5223596 5410153 5911927 6183032 6756488 10447192 10820306 11823854 12366064 13512976 20894384 21640612 23647708 24492269 37871071 41383489 43281224 47295416 48984538 75742142 82766978 86562448 94590832 97969076 151484284 165533956 171445883 195938152 302968568 331067912 342891766 391876304 605937136 662135824 685783532 710275801 1200121181 1371567064 1420551602 2400242362 2743134128 2841103204 4800484724 4971930607 5682206408 9600969448 9943861214 11364412816 19201938896 19887722428 34803514249 39775444856 69607028498 79550889712 139214056996 278428113992 556856227984