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4045316820 = 22352313721397
BaseRepresentation
bin1111000100011110…
…1010001011010100
3101102220222101102220
43301013222023110
531241100114240
61505225102340
7202150424406
oct36107521324
911386871386
104045316820
111796526446
1294a9279b0
134c612a2bc
142a538cb76
1518a2275d0
hexf11ea2d4

4045316820 has 96 divisors (see below), whose sum is σ = 11906189568. Its totient is φ = 1024269312.

The previous prime is 4045316801. The next prime is 4045316839. The reversal of 4045316820 is 286135404.

4045316820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4045316801) and next prime (4045316839).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178362 + ... + 199758.

It is an arithmetic number, because the mean of its divisors is an integer number (124022808).

Almost surely, 24045316820 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 4045316820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953094784).

4045316820 is an abundant number, since it is smaller than the sum of its proper divisors (7860872748).

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

4045316820 is a wasteful number, since it uses less digits than its factorization.

4045316820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21569 (or 21567 counting only the distinct ones).

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

The square root of 4045316820 is about 63602.8051268181. The cubic root of 4045316820 is about 1593.3732191054.

The spelling of 4045316820 in words is "four billion, forty-five million, three hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 230 274 276 345 411 460 548 685 690 822 1370 1380 1644 2055 2740 3151 4110 6302 8220 9453 12604 15755 18906 21397 31510 37812 42794 47265 63020 64191 85588 94530 106985 128382 189060 213970 256764 320955 427940 492131 641910 984262 1283820 1476393 1968524 2460655 2931389 2952786 4921310 5862778 5905572 7381965 8794167 9842620 11725556 14656945 14763930 17588334 29313890 29527860 35176668 43970835 58627780 67421947 87941670 134843894 175883340 202265841 269687788 337109735 404531682 674219470 809063364 1011329205 1348438940 2022658410 4045316820