Search a number
-
+
219368303318920 = 23571941234643481
BaseRepresentation
bin110001111000001110101001…
…110010110101011110001000
31001202201101221020100021110211
4301320032221302311132020
5212223112241122201140
62054320223551250504
764130560025212450
oct6170165162653610
91052641836307424
10219368303318920
1163996636338198
122072b068b19a34
13955345ab96612
143c256a80d2d60
151a564165332ea
hexc783a9cb5788

219368303318920 has 64 divisors (see below), whose sum is σ = 593778866140800. Its totient is φ = 71253463933440.

The previous prime is 219368303318917. The next prime is 219368303318929. The reversal of 219368303318920 is 29813303863912.

219368303318920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2193683033189203 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (219368303318929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20617316421 + ... + 20617327060.

It is an arithmetic number, because the mean of its divisors is an integer number (9277794783450).

Almost surely, 2219368303318920 is an apocalyptic number.

219368303318920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219368303318920 is an abundant number, since it is smaller than the sum of its proper divisors (374410562821880).

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

219368303318920 is a wasteful number, since it uses less digits than its factorization.

219368303318920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41234643518 (or 41234643514 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 219368303318920 in words is "two hundred nineteen trillion, three hundred sixty-eight billion, three hundred three million, three hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 41234643481 82469286962 164938573924 206173217405 288642504367 329877147848 412346434810 577285008734 783458226139 824692869620 1154570017468 1443212521835 1566916452278 1649385739240 2309140034936 2886425043670 3133832904556 3917291130695 5484207582973 5772850087340 6267665809112 7834582261390 10968415165946 11545700174680 15669164522780 21936830331892 27421037914865 31338329045560 43873660663784 54842075829730 109684151659460 219368303318920