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556232400100 = 225213427871077
BaseRepresentation
bin10000001100000100000…
…10001101110011100100
31222011201210101121112201
420012002002031303210
533103130443300400
61103310222424244
755120646250646
oct10060202156344
91864653347481
10556232400100
111a4995763a33
128b975132084
13405b61760c0
141ccc957a896
15e70771a06a
hex818208dce4

556232400100 has 36 divisors (see below), whose sum is σ = 1299872334964. Its totient is φ = 205378116480.

The previous prime is 556232400083. The next prime is 556232400121. The reversal of 556232400100 is 1004232655.

It can be written as a sum of positive squares in 6 ways, for example, as 86544225856 + 469688174244 = 294184^2 + 685338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213934239 + ... + 213936838.

Almost surely, 2556232400100 is an apocalyptic number.

556232400100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556232400100 is an abundant number, since it is smaller than the sum of its proper divisors (743639934864).

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

556232400100 is a wasteful number, since it uses less digits than its factorization.

556232400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427871104 (or 427871097 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 556232400100 its reverse (1004232655), we get a palindrome (557236632755).

The spelling of 556232400100 in words is "five hundred fifty-six billion, two hundred thirty-two million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 427871077 855742154 1711484308 2139355385 4278710770 5562324001 8557421540 10696776925 11124648002 21393553850 22249296004 27811620005 42787107700 55623240010 111246480020 139058100025 278116200050 556232400100