Search a number
-
+
2020216664124 = 2233109756122697
BaseRepresentation
bin11101011001011110010…
…010111111000000111100
321011010112101001210112000
4131121132102333000330
5231044400431222444
64144024050142300
7265645565212551
oct35313622770074
97133471053460
102020216664124
1170985070486a
12287646581990
13118675aac219
146dac9854a28
153783cc95469
hex1d65e4bf03c

2020216664124 has 96 divisors (see below), whose sum is σ = 5286582100800. Its totient is φ = 667109882880.

The previous prime is 2020216664119. The next prime is 2020216664149. The reversal of 2020216664124 is 4214666120202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88996744 + ... + 89019440.

It is an arithmetic number, because the mean of its divisors is an integer number (55068563550).

Almost surely, 22020216664124 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 2020216664124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643291050400).

2020216664124 is an abundant number, since it is smaller than the sum of its proper divisors (3266365436676).

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

2020216664124 is a wasteful number, since it uses less digits than its factorization.

2020216664124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30380 (or 30372 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2020216664124 in words is "two trillion, twenty billion, two hundred sixteen million, six hundred sixty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 7561 11772 15122 22683 22697 30244 45366 45394 68049 68091 90732 90788 136098 136182 204147 204273 272196 272364 408294 408546 612819 816588 817092 824149 1225638 1648298 2451276 2472447 2473973 3296596 4944894 4947946 7417341 7421919 9889788 9895892 14834682 14843838 22252023 22265757 29669364 29687676 44504046 44531514 66797271 89008092 89063028 133594542 171612017 267189084 343224034 514836051 686448068 1029672102 1544508153 2059344204 3089016306 4633524459 6178032612 9267048918 18534097836 18705709853 37411419706 56117129559 74822839412 112234259118 168351388677 224468518236 336702777354 505054166031 673405554708 1010108332062 2020216664124