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2542005153 = 33116380953
BaseRepresentation
bin1001011110000011…
…1110101110100001
320120011020020112000
42113200332232201
520201223131103
61100123554213
7116664454512
oct22740765641
96504206460
102542005153
111094994106
125ab38b969
1331684887c
141a1866a09
15ed276aa3
hex9783eba1

2542005153 has 16 divisors (see below), whose sum is σ = 3769218240. Its totient is φ = 1693192032.

The previous prime is 2542005143. The next prime is 2542005161. The reversal of 2542005153 is 3515002452.

It is a happy number.

It is not a de Polignac number, because 2542005153 - 226 = 2474896289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2542005143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9076 + ... + 71877.

It is an arithmetic number, because the mean of its divisors is an integer number (235576140).

Almost surely, 22542005153 is an apocalyptic number.

It is an amenable number.

2542005153 is a deficient number, since it is larger than the sum of its proper divisors (1227213087).

2542005153 is a wasteful number, since it uses less digits than its factorization.

2542005153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82125 (or 82119 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2542005153 is about 50418.3017663229. The cubic root of 2542005153 is about 1364.7679305991.

The spelling of 2542005153 in words is "two billion, five hundred forty-two million, five thousand, one hundred fifty-three".

Divisors: 1 3 9 27 1163 3489 10467 31401 80953 242859 728577 2185731 94148339 282445017 847335051 2542005153