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14600020660 = 225191011971931
BaseRepresentation
bin11011001100011101…
…01010001010110100
31101200111111220011221
431212032222022310
5214400101130120
610412425040124
71024542061621
oct154616521264
941614456157
1014600020660
116212370685
1229b5626044
1314b8a13ca4
149c7067348
155a6b570aa
hex3663aa2b4

14600020660 has 96 divisors (see below), whose sum is σ = 32775684480. Its totient is φ = 5447232000.

The previous prime is 14600020651. The next prime is 14600020667. The reversal of 14600020660 is 6602000641.

It is a happy number.

14600020660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14600020667) 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, 7559895 + ... + 7561825.

It is an arithmetic number, because the mean of its divisors is an integer number (341413380).

Almost surely, 214600020660 is an apocalyptic number.

14600020660 is a gapful number since it is divisible by the number (10) 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 14600020660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387842240).

14600020660 is an abundant number, since it is smaller than the sum of its proper divisors (18175663820).

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

14600020660 is a wasteful number, since it uses less digits than its factorization.

14600020660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 14600020660 in words is "fourteen billion, six hundred million, twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 197 202 380 394 404 505 788 985 1010 1919 1931 1970 2020 3743 3838 3862 3940 7486 7676 7724 9595 9655 14972 18715 19190 19310 19897 36689 37430 38380 38620 39794 73378 74860 79588 99485 146756 183445 195031 198970 366890 378043 380407 390062 397940 733780 756086 760814 780124 975155 1512172 1521628 1890215 1902035 1950310 3705589 3780430 3804070 3900620 7227733 7411178 7560860 7608140 14455466 14822356 18527945 28910932 36138665 37055890 38421107 72277330 74111780 76842214 144554660 153684428 192105535 384211070 730001033 768422140 1460002066 2920004132 3650005165 7300010330 14600020660