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556420020365 = 511231241257479
BaseRepresentation
bin10000001100011010011…
…01111011100010001101
31222012012212102201011102
420012031031323202031
533104022011122430
61103341004032445
755125415064546
oct10061515734215
91865185381142
10556420020365
111a4a81660900
128ba07b32725
1340615cb7601
141cd064594cd
15e718e2b345
hex818d37b88d

556420020365 has 96 divisors (see below), whose sum is σ = 765295534080. Its totient is φ = 387661824000.

The previous prime is 556420020311. The next prime is 556420020367. The reversal of 556420020365 is 563020024655.

It is a de Polignac number, because none of the positive numbers 2k-556420020365 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556420020367) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1161628196 + ... + 1161628674.

It is an arithmetic number, because the mean of its divisors is an integer number (7971828480).

Almost surely, 2556420020365 is an apocalyptic number.

556420020365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

556420020365 is a deficient number, since it is larger than the sum of its proper divisors (208875513715).

556420020365 is a wasteful number, since it uses less digits than its factorization.

556420020365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 556420020365 in words is "five hundred fifty-six billion, four hundred twenty million, twenty thousand, three hundred sixty-five".

Divisors: 1 5 11 31 55 121 155 241 257 341 479 605 1205 1285 1705 2395 2651 2827 3751 5269 7471 7967 13255 14135 14849 18755 26345 29161 31097 37355 39835 57959 61937 74245 82181 87637 115439 123103 145805 155485 163339 289795 309685 410905 438185 577195 615515 681307 816695 903991 964007 1269829 1354133 1796729 1920047 3406535 3578609 3816193 4519955 4820035 6349145 6770665 7494377 8983645 9600235 13968119 14895463 17893045 19080965 21120517 29667823 37471885 39364699 41978123 69840595 74477315 105602585 148339115 196823495 209890615 232325687 326346053 433011689 461759353 919702513 1161628435 1631730265 2165058445 2308796765 3589806583 4598512565 10116727643 17949032915 50583638215 111284004073 556420020365