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10420542500 = 22548215077
BaseRepresentation
bin10011011010001110…
…01101110000100100
3222220020002101222112
421231013031300210
5132320124330000
64442004220152
7516142102244
oct115507156044
928806071875
1010420542500
1144681408a5
12202999a658
13ca0b720a4
1470bd53b24
1540ec7d235
hex26d1cdc24

10420542500 has 60 divisors (see below), whose sum is σ = 22819892172. Its totient is φ = 4162320000.

The previous prime is 10420542469. The next prime is 10420542521. The reversal of 10420542500 is 524502401.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6175759396 + 4244783104 = 78586^2 + 65152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2049962 + ... + 2055038.

Almost surely, 210420542500 is an apocalyptic number.

10420542500 is a gapful number since it is divisible by the number (10) 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 10420542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409946086).

10420542500 is an abundant number, since it is smaller than the sum of its proper divisors (12399349672).

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

10420542500 is an equidigital number, since it uses as much as digits as its factorization.

10420542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 10420542500 in words is "ten billion, four hundred twenty million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 821 1250 1642 2500 3284 4105 5077 8210 10154 16420 20308 20525 25385 41050 50770 82100 101540 102625 126925 205250 253850 410500 507700 513125 634625 1026250 1269250 2052500 2538500 3173125 4168217 6346250 8336434 12692500 16672868 20841085 41682170 83364340 104205425 208410850 416821700 521027125 1042054250 2084108500 2605135625 5210271250 10420542500