Search a number
-
+
4836646116 = 22326721732
BaseRepresentation
bin1001000000100100…
…10101110011100100
3110111002000002011100
410200102111303210
534401140133431
62115534040100
7230566546041
oct44022256344
913432002140
104836646116
1120621848a5
12b2b949030
135c10656a3
1433c4dc1c8
151d493a4e6
hex120495ce4

4836646116 has 81 divisors (see below), whose sum is σ = 12483322761. Its totient is φ = 1578972384.

The previous prime is 4836646109. The next prime is 4836646121. The reversal of 4836646116 is 6116466384.

The square root of 4836646116 is 69546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4399668900 + 436977216 = 66330^2 + 20904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27957406 + ... + 27957578.

Almost surely, 24836646116 is an apocalyptic number.

4836646116 is the 69546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4836646116

4836646116 is an abundant number, since it is smaller than the sum of its proper divisors (7646676645).

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

4836646116 is a wasteful number, since it uses less digits than its factorization.

4836646116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The cubic root of 4836646116 is about 1691.1473035283.

The spelling of 4836646116 in words is "four billion, eight hundred thirty-six million, six hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 173 201 268 346 402 519 603 692 804 1038 1206 1557 2076 2412 3114 4489 6228 8978 11591 13467 17956 23182 26934 29929 34773 40401 46364 53868 59858 69546 80802 89787 104319 119716 139092 161604 179574 208638 269361 359148 417276 538722 776597 1077444 1553194 2005243 2329791 3106388 4010486 4659582 6015729 6989373 8020972 9319164 12031458 13978746 18047187 24062916 27957492 36094374 72188748 134351281 268702562 403053843 537405124 806107686 1209161529 1612215372 2418323058 4836646116