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3128504064 = 28373591621
BaseRepresentation
bin1011101001111001…
…0010111100000000
322002000211110202220
42322132102330000
522401344112224
61234234411040
7140345563050
oct27236227400
98060743686
103128504064
111365a60454
12733890a80
133ab1c814a
142196d7560
151349c9279
hexba792f00

3128504064 has 144 divisors (see below), whose sum is σ = 9548259840. Its totient is φ = 890818560.

The previous prime is 3128504051. The next prime is 3128504077. The reversal of 3128504064 is 4604058213.

It is an interprime number because it is at equal distance from previous prime (3128504051) and next prime (3128504077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929174 + ... + 1930794.

It is an arithmetic number, because the mean of its divisors is an integer number (66307360).

Almost surely, 23128504064 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 3128504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774129920).

3128504064 is an abundant number, since it is smaller than the sum of its proper divisors (6419755776).

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

3128504064 is a wasteful number, since it uses less digits than its factorization.

3128504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3128504064 is about 55933.0319578690. The cubic root of 3128504064 is about 1462.5551154041. Note that the first 3 decimals are identical.

The spelling of 3128504064 in words is "three billion, one hundred twenty-eight million, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 359 384 448 672 718 768 896 1077 1344 1436 1621 1792 2154 2513 2688 2872 3242 4308 4863 5026 5376 5744 6484 7539 8616 9726 10052 11347 11488 12968 15078 17232 19452 20104 22694 22976 25936 30156 34041 34464 38904 40208 45388 45952 51872 60312 68082 68928 77808 80416 90776 91904 103744 120624 136164 137856 155616 160832 181552 207488 241248 272328 275712 311232 321664 363104 414976 482496 544656 581939 622464 643328 726208 964992 1089312 1163878 1244928 1452416 1745817 1929984 2178624 2327756 2904832 3491634 4073573 4357248 4655512 6983268 8147146 8714496 9311024 12220719 13966536 16294292 18622048 24441438 27933072 32588584 37244096 48882876 55866144 65177168 74488192 97765752 111732288 130354336 148976384 195531504 223464576 260708672 391063008 446929152 521417344 782126016 1042834688 1564252032 3128504064