Search a number
-
+
4611700660 = 225725388789
BaseRepresentation
bin1000100101110000…
…01111011110110100
3102220101201200000011
410102320033132310
533421043410120
62041340430004
7222165544300
oct42270173664
912811650004
104611700660
111a57203a66
12a88548304
13586585c78
1431a6a4d00
151bed04c5a
hex112e0f7b4

4611700660 has 72 divisors (see below), whose sum is σ = 11478416040. Its totient is φ = 1551303936.

The previous prime is 4611700631. The next prime is 4611700663. The reversal of 4611700660 is 660071164.

It can be written as a sum of positive squares in 4 ways, for example, as 1856920464 + 2754780196 = 43092^2 + 52486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4611700663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7546 + ... + 96334.

It is an arithmetic number, because the mean of its divisors is an integer number (159422445).

Almost surely, 24611700660 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 4611700660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739208020).

4611700660 is an abundant number, since it is smaller than the sum of its proper divisors (6866715380).

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

4611700660 is a wasteful number, since it uses less digits than its factorization.

4611700660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88865 (or 88856 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 4611700660 is about 67909.5034586471. The cubic root of 4611700660 is about 1664.5124070100.

The spelling of 4611700660 in words is "four billion, six hundred eleven million, seven hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 5194 7420 10388 12985 25970 51940 88789 177578 355156 443945 621523 887890 1243046 1775780 2486092 3107615 4350661 4705817 6215230 8701322 9411634 12430460 17402644 18823268 21753305 23529085 32940719 43506610 47058170 65881438 87013220 94116340 131762876 164703595 230585033 329407190 461170066 658814380 922340132 1152925165 2305850330 4611700660