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4024661130 = 23257191013329
BaseRepresentation
bin1110111111100011…
…0111010010001010
3101101111002222011100
43233320313102022
531220303124010
61503210242230
7201510024630
oct35770672212
911344088140
104024661130
1117858a8526
12943a26376
134c1a775b9
142a2733350
151884e72c0
hexefe3748a

4024661130 has 192 divisors, whose sum is σ = 12716870400. Its totient is φ = 862617600.

The previous prime is 4024661129. The next prime is 4024661143. The reversal of 4024661130 is 311664204.

4024661130 is a `hidden beast` number, since 4 + 0 + 2 + 46 + 611 + 3 + 0 = 666.

It is a super-2 number, since 2×40246611302 = 32395794422665753800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4024661094 and 4024661103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207306 + ... + 1210634.

It is an arithmetic number, because the mean of its divisors is an integer number (66233700).

Almost surely, 24024661130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024661130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358435200).

4024661130 is an abundant number, since it is smaller than the sum of its proper divisors (8692209270).

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

4024661130 is a wasteful number, since it uses less digits than its factorization.

4024661130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4024661130 is about 63440.2169762998. The cubic root of 4024661130 is about 1590.6566292307.

The spelling of 4024661130 in words is "four billion, twenty-four million, six hundred sixty-one thousand, one hundred thirty".