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20164447015272 = 233479914485797
BaseRepresentation
bin1001001010110111001101…
…01100111001000101101000
32122101200221222112102210000
410211123212230321011220
510120333241413442042
6110515230304223000
74150555536420120
oct445334654710550
978350858472700
1020164447015272
11647476a72162a
12231800860aa60
13b33664965331
144d9d70607c80
1524e7cbe4774c
hex1256e6b39168

20164447015272 has 160 divisors (see below), whose sum is σ = 64612716664320. Its totient is φ = 5755455699840.

The previous prime is 20164447015259. The next prime is 20164447015277. The reversal of 20164447015272 is 27251074446102.

20164447015272 is a `hidden beast` number, since 2 + 0 + 1 + 64 + 4 + 470 + 1 + 52 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (20164447015277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2252278 + ... + 6738074.

It is an arithmetic number, because the mean of its divisors is an integer number (403829479152).

Almost surely, 220164447015272 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 20164447015272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32306358332160).

20164447015272 is an abundant number, since it is smaller than the sum of its proper divisors (44448269649048).

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

20164447015272 is a wasteful number, since it uses less digits than its factorization.

20164447015272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486813 (or 4486800 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20164447015272 in words is "twenty trillion, one hundred sixty-four billion, four hundred forty-seven million, fifteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 991 1134 1512 1982 2268 2973 3964 4536 5946 6937 7928 8919 11892 13874 17838 20811 23784 26757 27748 35676 41622 53514 55496 62433 71352 80271 83244 107028 124866 160542 166488 187299 214056 249732 321084 374598 499464 561897 642168 749196 1123794 1498392 2247588 4485797 4495176 8971594 13457391 17943188 26914782 31400579 35886376 40372173 53829564 62801158 80744346 94201737 107659128 121116519 125602316 161488692 188403474 242233038 251204632 282605211 322977384 363349557 376806948 484466076 565210422 726699114 753613896 847815633 968932152 1130420844 1453398228 1695631266 2260841688 2543446899 2906796456 3391262532 4445424827 5086893798 6782525064 8890849654 10173787596 13336274481 17781699308 20347575192 26672548962 31117973789 35563398616 40008823443 53345097924 62235947578 80017646886 93353921367 106690195848 120026470329 124471895156 160035293772 186707842734 240052940658 248943790312 280061764101 320070587544 360079410987 373415685468 480105881316 560123528202 720158821974 746831370936 840185292303 960211762632 1120247056404 1440317643948 1680370584606 2240494112808 2520555876909 2880635287896 3360741169212 5041111753818 6721482338424 10082223507636 20164447015272