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4641131220 = 2235117396329
BaseRepresentation
bin1000101001010001…
…00000101011010100
3102222110002220010220
410110220200223110
534001112144340
62044311314340
7223003651545
oct42450405324
912873086126
104641131220
111a71885640
12a9637b9b0
1358c6bb9bb
143205664cc
151c26b9ed0
hex114a20ad4

4641131220 has 96 divisors (see below), whose sum is σ = 14370894720. Its totient is φ = 1109698560.

The previous prime is 4641131191. The next prime is 4641131221. The reversal of 4641131220 is 221311464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641131221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16 + ... + 96344.

It is an arithmetic number, because the mean of its divisors is an integer number (149696820).

Almost surely, 24641131220 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 4641131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185447360).

4641131220 is an abundant number, since it is smaller than the sum of its proper divisors (9729763500).

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

4641131220 is a wasteful number, since it uses less digits than its factorization.

4641131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96425 (or 96423 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4641131220 is about 68125.8483983869. The cubic root of 4641131220 is about 1668.0457161299.

Adding to 4641131220 its reverse (221311464), we get a palindrome (4862442684).

The spelling of 4641131220 in words is "four billion, six hundred forty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 292 330 365 438 660 730 803 876 1095 1460 1606 2190 2409 3212 4015 4380 4818 8030 9636 12045 16060 24090 48180 96329 192658 288987 385316 481645 577974 963290 1059619 1155948 1444935 1926580 2119238 2889870 3178857 4238476 5298095 5779740 6357714 7032017 10596190 12715428 14064034 15894285 21096051 21192380 28128068 31788570 35160085 42192102 63577140 70320170 77352187 84384204 105480255 140640340 154704374 210960510 232056561 309408748 386760935 421921020 464113122 773521870 928226244 1160282805 1547043740 2320565610 4641131220