Search a number
-
+
4116602636636 = 2272313791151217
BaseRepresentation
bin111011111001111000101…
…000110100100101011100
3112120112200010010101000212
4323321320220310211130
51014421300233333021
612431050253111552
7603262152032060
oct73717050644534
915515603111025
104116602636636
111347928961376
125659a9a885b8
1323b26a1a1109
1410335d3a3aa0
1572137a7985b
hex3be78a3495c

4116602636636 has 96 divisors (see below), whose sum is σ = 8663548465152. Its totient is φ = 1673361930240.

The previous prime is 4116602636617. The next prime is 4116602636639. The reversal of 4116602636636 is 6366362066114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116602636639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80350100 + ... + 80401316.

It is an arithmetic number, because the mean of its divisors is an integer number (90245296512).

Almost surely, 24116602636636 is an apocalyptic number.

4116602636636 is a gapful number since it is divisible by the number (46) 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 4116602636636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331774232576).

4116602636636 is an abundant number, since it is smaller than the sum of its proper divisors (4546945828516).

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

4116602636636 is a wasteful number, since it uses less digits than its factorization.

4116602636636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52299 (or 52297 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 50.

The spelling of 4116602636636 in words is "four trillion, one hundred sixteen billion, six hundred two million, six hundred thirty-six thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 92 137 161 274 322 548 644 911 959 1822 1918 3151 3644 3836 6302 6377 12604 12754 20953 22057 25508 41906 44114 51217 83812 88228 102434 124807 146671 204868 249614 293342 358519 499228 586684 717038 873649 1177991 1434076 1747298 2355982 2870561 3494596 4711964 5741122 7016729 8245937 11482244 14033458 16491874 20093927 28066916 32983748 40187854 46658687 49117103 80375708 93317374 98234206 161384767 186634748 196468412 322769534 326610809 645539068 653221618 1073149801 1129693369 1306443236 2146299602 2259386738 4292599204 4518773476 6392240119 7512048607 12784480238 15024097214 25568960476 30048194428 44745680833 89491361666 147021522737 178982723332 294043045474 588086090948 1029150659159 2058301318318 4116602636636