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4674601060 = 2252941533709
BaseRepresentation
bin1000101101010000…
…01100000001100100
3110001210002100010121
410112220030001210
534033144213220
62051504531324
7223561311343
oct42650140144
913053070117
104674601060
111a89765a68
12aa5620b44
1359660a13c
14324b99b5a
151c55cbeaa
hex116a0c064

4674601060 has 96 divisors (see below), whose sum is σ = 10601992800. Its totient is φ = 1727631360.

The previous prime is 4674601051. The next prime is 4674601067. The reversal of 4674601060 is 601064764.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2132222976 + 2542378084 = 46176^2 + 50422^2 .

It is not an unprimeable number, because it can be changed into a prime (4674601067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258486 + ... + 1262194.

It is an arithmetic number, because the mean of its divisors is an integer number (110437425).

Almost surely, 24674601060 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 4674601060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300996400).

4674601060 is an abundant number, since it is smaller than the sum of its proper divisors (5927391740).

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

4674601060 is a wasteful number, since it uses less digits than its factorization.

4674601060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4674601060 is about 68371.0542554377. The cubic root of 4674601060 is about 1672.0458582120.

It can be divided in two parts, 467460 and 1060, that multiplied together give a square (495507600 = 222602).

The spelling of 4674601060 in words is "four billion, six hundred seventy-four million, six hundred one thousand, sixty".

Divisors: 1 2 4 5 10 20 29 41 53 58 82 106 116 145 164 205 212 265 290 410 530 580 820 1060 1189 1537 2173 2378 3074 3709 4346 4756 5945 6148 7418 7685 8692 10865 11890 14836 15370 18545 21730 23780 30740 37090 43460 63017 74180 107561 126034 152069 196577 215122 252068 304138 315085 393154 430244 537805 608276 630170 760345 786308 982885 1075610 1260340 1520690 1965770 2151220 3041380 3931540 4410001 5700733 8059657 8820002 11401466 16119314 17640004 22050005 22802932 28503665 32238628 40298285 44100010 57007330 80596570 88200020 114014660 161193140 233730053 467460106 934920212 1168650265 2337300530 4674601060