Search a number
-
+
3663996996 = 22311295916223
BaseRepresentation
bin1101101001100100…
…0010100001000100
3100110100110022222110
43122121002201010
530000440400441
61403324101020
7156540313662
oct33231024104
910410408873
103663996996
11161025a1a0
12863094770
1346512947a
1426a88bc32
15166a03b16
hexda642844

3663996996 has 96 divisors (see below), whose sum is σ = 9812275200. Its totient is φ = 1053781120.

The previous prime is 3663996989. The next prime is 3663997009. The reversal of 3663996996 is 6996993663.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 217741 + ... + 233963.

It is an arithmetic number, because the mean of its divisors is an integer number (102211200).

Almost surely, 23663996996 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 3663996996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

3663996996 is an abundant number, since it is smaller than the sum of its proper divisors (6148278204).

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

3663996996 is a wasteful number, since it uses less digits than its factorization.

3663996996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16329 (or 16327 counting only the distinct ones).

The product of its digits is 76527504, while the sum is 66.

The square root of 3663996996 is about 60530.9589879427. The cubic root of 3663996996 is about 1541.6473343155.

The spelling of 3663996996 in words is "three billion, six hundred sixty-three million, nine hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 59 66 87 116 118 132 174 177 236 319 348 354 638 649 708 957 1276 1298 1711 1914 1947 2596 3422 3828 3894 5133 6844 7788 10266 16223 18821 20532 32446 37642 48669 56463 64892 75284 97338 112926 178453 194676 225852 356906 470467 535359 713812 940934 957157 1070718 1411401 1881868 1914314 2141436 2822802 2871471 3828628 5175137 5645604 5742942 10350274 10528727 11485884 15525411 20700548 21057454 27757553 31050822 31586181 42114908 55515106 62101644 63172362 83272659 111030212 126344724 166545318 305333083 333090636 610666166 915999249 1221332332 1831998498 3663996996