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2010825042 = 231733595869
BaseRepresentation
bin111011111011010…
…1100000101010010
312012010201111101120
41313312230011102
513104232400132
6531310543110
7100554505452
oct16766540522
95163644346
102010825042
11942070686
12481507a96
13260797605
141510b5d62
15bb80002c
hex77dac152

2010825042 has 32 divisors (see below), whose sum is σ = 4260211200. Its totient is φ = 630551808.

The previous prime is 2010825023. The next prime is 2010825049. The reversal of 2010825042 is 2405280102.

It is not an unprimeable number, because it can be changed into a prime (2010825049) 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, 339684 + ... + 345552.

It is an arithmetic number, because the mean of its divisors is an integer number (133131600).

Almost surely, 22010825042 is an apocalyptic number.

2010825042 is an abundant number, since it is smaller than the sum of its proper divisors (2249386158).

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

2010825042 is a wasteful number, since it uses less digits than its factorization.

2010825042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2010825042 is about 44842.2238743798. The cubic root of 2010825042 is about 1262.1900774660.

It can be divided in two parts, 20108 and 25042, that added together give a triangular number (45150 = T300).

The spelling of 2010825042 in words is "two billion, ten million, eight hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 17 34 51 102 3359 5869 6718 10077 11738 17607 20154 35214 57103 99773 114206 171309 199546 299319 342618 598638 19713971 39427942 59141913 118283826 335137507 670275014 1005412521 2010825042