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4452130000 = 24541726189
BaseRepresentation
bin1000010010101111…
…00001110011010000
3102111021110122012201
410021113201303100
533104221130000
62013440332544
7215220323563
oct41127416320
912437418181
104452130000
11198512518a
12a43014154
1355c4b5a66
143034084da
151b0cd496a
hex1095e1cd0

4452130000 has 100 divisors (see below), whose sum is σ = 11413549620. Its totient is φ = 1676032000.

The previous prime is 4452129953. The next prime is 4452130021. The reversal of 4452130000 is 312544.

It can be written as a sum of positive squares in 10 ways, for example, as 2054264976 + 2397865024 = 45324^2 + 48968^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 4452130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156906 + ... + 183094.

Almost surely, 24452130000 is an apocalyptic number.

4452130000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4452130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706774810).

4452130000 is an abundant number, since it is smaller than the sum of its proper divisors (6961419620).

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

4452130000 is a wasteful number, since it uses less digits than its factorization.

4452130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26234 (or 26213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4452130000 is about 66724.2834356428. The cubic root of 4452130000 is about 1645.0885476305.

Adding to 4452130000 its reverse (312544), we get a palindrome (4452442544).

The spelling of 4452130000 in words is "four billion, four hundred fifty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 26189 34000 42500 52378 85000 104756 130945 170000 209512 261890 419024 445213 523780 654725 890426 1047560 1309450 1780852 2095120 2226065 2618900 3273625 3561704 4452130 5237800 6547250 7123408 8904260 10475600 11130325 13094500 16368125 17808520 22260650 26189000 32736250 35617040 44521300 52378000 55651625 65472500 89042600 111303250 130945000 178085200 222606500 261890000 278258125 445213000 556516250 890426000 1113032500 2226065000 4452130000