Search a number
-
+
20664624660 = 223512712312203
BaseRepresentation
bin10011001111101101…
…010010011000010100
31222100011010200212220
4103033231102120110
5314310120442120
613254310342340
71331042261061
oct231755223024
958304120786
1020664624660
1188447073a9
12400865a9b0
131c442ac474
141000691c68
1580e2a1b40
hex4cfb52614

20664624660 has 96 divisors (see below), whose sum is σ = 58390413312. Its totient is φ = 5460255360.

The previous prime is 20664624649. The next prime is 20664624661. The reversal of 20664624660 is 6642646602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20664624661) 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 31 ways as a sum of consecutive naturals, for example, 9379119 + ... + 9381321.

It is an arithmetic number, because the mean of its divisors is an integer number (608233472).

Almost surely, 220664624660 is an apocalyptic number.

20664624660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20664624660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29195206656).

20664624660 is an abundant number, since it is smaller than the sum of its proper divisors (37725788652).

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

20664624660 is a wasteful number, since it uses less digits than its factorization.

20664624660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 20664624660 in words is "twenty billion, six hundred sixty-four million, six hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1231 1270 1524 1905 2203 2462 2540 3693 3810 4406 4924 6155 6609 7386 7620 8812 11015 12310 13218 14772 18465 22030 24620 26436 33045 36930 44060 66090 73860 132180 156337 279781 312674 469011 559562 625348 781685 839343 938022 1119124 1398905 1563370 1678686 1876044 2345055 2711893 2797810 3126740 3357372 4196715 4690110 5423786 5595620 8135679 8393430 9380220 10847572 13559465 16271358 16786860 27118930 32542716 40678395 54237860 81356790 162713580 344410411 688820822 1033231233 1377641644 1722052055 2066462466 3444104110 4132924932 5166156165 6888208220 10332312330 20664624660