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2541601968 = 243359314737
BaseRepresentation
bin1001011101111101…
…1100010010110000
320120010110202110020
42113133130102300
520201122230333
61100111203440
7116661155163
oct22737342260
96503422406
102541601968
1110947391a4
125ab216580
133167371b9
141a179dada
15ed1e73b3
hex977dc4b0

2541601968 has 40 divisors (see below), whose sum is σ = 6568078128. Its totient is φ = 846907392.

The previous prime is 2541601883. The next prime is 2541601999. The reversal of 2541601968 is 8691061452.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 165096 + ... + 179832.

Almost surely, 22541601968 is an apocalyptic number.

It is an amenable number.

2541601968 is an abundant number, since it is smaller than the sum of its proper divisors (4026476160).

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

2541601968 is a wasteful number, since it uses less digits than its factorization.

2541601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18341 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2541601968 is about 50414.3032085141. The cubic root of 2541601968 is about 1364.6957719396.

The spelling of 2541601968 in words is "two billion, five hundred forty-one million, six hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 3593 7186 10779 14372 14737 21558 28744 29474 43116 44211 57488 58948 86232 88422 117896 172464 176844 235792 353688 707376 52950041 105900082 158850123 211800164 317700246 423600328 635400492 847200656 1270800984 2541601968