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2842572801 = 312739718793
BaseRepresentation
bin1010100101101110…
…0011100000000001
321100002210122211010
42221123203200001
521310144312201
61150022111133
7130304320155
oct25133434001
97302718733
102842572801
111229616022
12673b7b4a9
13363bb4b53
141cd747065
15119848bd6
hexa96e3801

2842572801 has 16 divisors (see below), whose sum is σ = 3829766144. Its totient is φ = 1875291264.

The previous prime is 2842572791. The next prime is 2842572833. The reversal of 2842572801 is 1082752482.

It is not a de Polignac number, because 2842572801 - 27 = 2842572673 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2842572801.

It is not an unprimeable number, because it can be changed into a prime (2842572301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141861 + ... + 160653.

It is an arithmetic number, because the mean of its divisors is an integer number (239360384).

Almost surely, 22842572801 is an apocalyptic number.

It is an amenable number.

2842572801 is a deficient number, since it is larger than the sum of its proper divisors (987193343).

2842572801 is a wasteful number, since it uses less digits than its factorization.

2842572801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19320.

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 2842572801 is about 53315.7837886681. The cubic root of 2842572801 is about 1416.5672556279.

The spelling of 2842572801 in words is "two billion, eight hundred forty-two million, five hundred seventy-two thousand, eight hundred one".

Divisors: 1 3 127 381 397 1191 18793 50419 56379 151257 2386711 7160133 7460821 22382463 947524267 2842572801