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2148292692 = 223473131487
BaseRepresentation
bin1000000000001100…
…0101100001010100
312112201101120120000
42000003011201110
513344430331232
6553101211300
7104144121000
oct20003054124
95481346500
102148292692
11a02723107
124bb560b30
132830c9110
1416545b700
15c890627c
hex800c5854

2148292692 has 240 divisors, whose sum is σ = 7057881600. Its totient is φ = 566201664.

The previous prime is 2148292687. The next prime is 2148292709. The reversal of 2148292692 is 2962928412.

2148292692 is a `hidden beast` number, since 21 + 482 + 92 + 69 + 2 = 666.

It is a super-2 number, since 2×21482926922 = 9230322981001213728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1443973 + ... + 1445459.

It is an arithmetic number, because the mean of its divisors is an integer number (29407840).

Almost surely, 22148292692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148292692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528940800).

2148292692 is an abundant number, since it is smaller than the sum of its proper divisors (4909588908).

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

2148292692 is a wasteful number, since it uses less digits than its factorization.

2148292692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1512 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2148292692 is about 46349.6784454865. The cubic root of 2148292692 is about 1290.3211531394.

The spelling of 2148292692 in words is "two billion, one hundred forty-eight million, two hundred ninety-two thousand, six hundred ninety-two".