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558081643912 = 231324995991381
BaseRepresentation
bin10000001111100000100…
…00100001010110001000
31222100111200001221011021
420013300100201112020
533120422400101122
61104213522242224
755214532463222
oct10076020412610
91870450057137
10558081643912
111a57545a2201
12901b04b6374
134081c318300
141d022dd1412
15e7b4c4e1c7
hex81f0421588

558081643912 has 96 divisors (see below), whose sum is σ = 1138077000000. Its totient is φ = 256444980480.

The previous prime is 558081643909. The next prime is 558081643927. The reversal of 558081643912 is 219346180855.

It is a happy number.

It is a super-2 number, since 2×5580816439122 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 558081643912.

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 23 ways as a sum of consecutive naturals, for example, 404113462 + ... + 404114842.

It is an arithmetic number, because the mean of its divisors is an integer number (11854968750).

Almost surely, 2558081643912 is an apocalyptic number.

558081643912 is a gapful number since it is divisible by the number (52) 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 558081643912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569038500000).

558081643912 is an abundant number, since it is smaller than the sum of its proper divisors (579995356088).

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

558081643912 is a wasteful number, since it uses less digits than its factorization.

558081643912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 558081643912 in words is "five hundred fifty-eight billion, eighty-one million, six hundred forty-three thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 499 599 676 998 1198 1352 1381 1996 2396 2762 3992 4792 5524 6487 7787 11048 12974 15574 17953 25948 31148 35906 51896 62296 71812 84331 101231 143624 168662 202462 233389 298901 337324 404924 466778 597802 674648 689119 809848 827219 933556 1195604 1378238 1654438 1867112 2391208 2756476 3308876 3885713 5512952 6617752 7771426 8958547 10753847 15542852 17917094 21507694 31085704 35834188 43015388 50514269 71668376 86030776 101028538 116461111 139800011 202057076 232922222 279600022 404114152 412782281 465844444 559200044 825564562 931688888 1118400088 1651129124 3302258248 5366169653 10732339306 21464678612 42929357224 69760205489 139520410978 279040821956 558081643912