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542133200133 = 32747183091253
BaseRepresentation
bin1111110001110011010…
…10000010010100000101
31220211100012021001012100
413320321222002110011
532340242044401013
61053015203542313
754111365111460
oct7707152022405
91824305231170
10542133200133
11199a10070358
128909b38a999
133c17a143925
141c34cc402d7
15e17ea3e473
hex7e39a82505

542133200133 has 24 divisors (see below), whose sum is σ = 913991539968. Its totient is φ = 303199113312.

The previous prime is 542133200101. The next prime is 542133200173. The reversal of 542133200133 is 331002331245.

542133200133 is a `hidden beast` number, since 5 + 421 + 3 + 3 + 200 + 1 + 33 = 666.

It is not a de Polignac number, because 542133200133 - 25 = 542133200101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542133200097 and 542133200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542133200173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91542666 + ... + 91548587.

It is an arithmetic number, because the mean of its divisors is an integer number (38082980832).

Almost surely, 2542133200133 is an apocalyptic number.

It is an amenable number.

542133200133 is a deficient number, since it is larger than the sum of its proper divisors (371858339835).

542133200133 is a wasteful number, since it uses less digits than its factorization.

542133200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183091313 (or 183091310 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 542133200133 its reverse (331002331245), we get a palindrome (873135531378).

The spelling of 542133200133 in words is "five hundred forty-two billion, one hundred thirty-three million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 183091253 549273759 1281638771 1647821277 3844916313 8605288891 11534748939 25815866673 60237022237 77447600019 180711066711 542133200133