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2611142928 = 243218132937
BaseRepresentation
bin1001101110100010…
…1110000100010000
320201222022210201100
42123220232010100
520321423033203
61111033504400
7121464230412
oct23350560420
96658283640
102611142928
11111aa16369
1260a572100
13327c74ab4
141aab029b2
15104381ea3
hex9ba2e110

2611142928 has 30 divisors (see below), whose sum is σ = 7307574014. Its totient is φ = 870380928.

The previous prime is 2611142893. The next prime is 2611142957. The reversal of 2611142928 is 8292411162.

2611142928 is a `hidden beast` number, since 2 + 611 + 14 + 2 + 9 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2146654224 + 464488704 = 46332^2 + 21552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2611142892 and 2611142901.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9066325 + ... + 9066612.

Almost surely, 22611142928 is an apocalyptic number.

It is an amenable number.

2611142928 is an abundant number, since it is smaller than the sum of its proper divisors (4696431086).

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

2611142928 is a wasteful number, since it uses less digits than its factorization.

2611142928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18132951 (or 18132942 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2611142928 is about 51099.3437139852. The cubic root of 2611142928 is about 1377.0304640254.

The spelling of 2611142928 in words is "two billion, six hundred eleven million, one hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18132937 36265874 54398811 72531748 108797622 145063496 163196433 217595244 290126992 326392866 435190488 652785732 870380976 1305571464 2611142928