Search a number
-
+
542100060125 = 53131572124841
BaseRepresentation
bin1111110001101111010…
…11100111011111011101
31220211020212220100122122
413320313223213133131
532340210103411000
61053012021352325
754110513324411
oct7706753473735
91824225810578
10542100060125
111999a3395818
12890902686a5
133c17330c660
141c348694d41
15e17bb95085
hex7e37ae77dd

542100060125 has 32 divisors (see below), whose sum is σ = 733223478624. Its totient is φ = 397770048000.

The previous prime is 542100060119. The next prime is 542100060157. The reversal of 542100060125 is 521060001245.

It can be written as a sum of positive squares in 16 ways, for example, as 539209707481 + 2890352644 = 734309^2 + 53762^2 .

It is not a de Polignac number, because 542100060125 - 238 = 267222153181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542100060094 and 542100060103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807296 + ... + 1317545.

It is an arithmetic number, because the mean of its divisors is an integer number (22913233707).

Almost surely, 2542100060125 is an apocalyptic number.

It is an amenable number.

542100060125 is a deficient number, since it is larger than the sum of its proper divisors (191123418499).

542100060125 is a wasteful number, since it uses less digits than its factorization.

542100060125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125026 (or 2125016 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 542100060125 in words is "five hundred forty-two billion, one hundred million, sixty thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 157 325 785 1625 2041 3925 10205 19625 51025 255125 2124841 10624205 27622933 53121025 138114665 265605125 333600037 690573325 1668000185 3452866625 4336800481 8340000925 21684002405 41700004625 108420012025 542100060125