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5466336260 = 2257115366973
BaseRepresentation
bin1010001011101000…
…11010110000000100
3112002221212122122112
411011310122300010
542143340230020
62302230320152
7252314043260
oct50564326004
915087778575
105466336260
112355671380
1210867b9058
136916581c8
1439bdb30a0
1521ed702c5
hex145d1ac04

5466336260 has 96 divisors (see below), whose sum is σ = 14582115072. Its totient is φ = 1671621120.

The previous prime is 5466336251. The next prime is 5466336263. The reversal of 5466336260 is 626336645.

It is not an unprimeable number, because it can be changed into a prime (5466336263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48134 + ... + 115106.

It is an arithmetic number, because the mean of its divisors is an integer number (151897032).

Almost surely, 25466336260 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 5466336260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291057536).

5466336260 is an abundant number, since it is smaller than the sum of its proper divisors (9115778812).

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

5466336260 is a wasteful number, since it uses less digits than its factorization.

5466336260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67053 (or 67051 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The square root of 5466336260 is about 73934.6756265286. The cubic root of 5466336260 is about 1761.5654395866.

The spelling of 5466336260 in words is "five billion, four hundred sixty-six million, three hundred thirty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 530 583 742 770 1060 1166 1484 1540 1855 2332 2915 3710 4081 5830 7420 8162 11660 16324 20405 40810 66973 81620 133946 267892 334865 468811 669730 736703 937622 1339460 1473406 1875244 2344055 2946812 3549569 3683515 4688110 5156921 7099138 7367030 9376220 10313842 14198276 14734060 17747845 20627684 24846983 25784605 35495690 39045259 49693966 51569210 70991380 78090518 99387932 103138420 124234915 156181036 195226295 248469830 273316813 390452590 496939660 546633626 780905180 1093267252 1366584065 2733168130 5466336260