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17274137216420 = 22572123373142873
BaseRepresentation
bin1111101101011111001011…
…0100000000010110100100
32021011101120022201201120102
43323113302310000112210
54231004413111411140
6100423343514323232
73432005136452600
oct373276264002644
967141508651512
1017274137216420
11555aa14139557
121b2ba15729518
13983c373b33c6
1443a1036d0500
151ee517503e15
hexfb5f2d005a4

17274137216420 has 72 divisors (see below), whose sum is σ = 42198886881144. Its totient is φ = 5922471873024.

The previous prime is 17274137216419. The next prime is 17274137216491. The reversal of 17274137216420 is 2461273147271.

It is a happy number.

17274137216420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4342230775204 + 12931906441216 = 2083802^2 + 3596096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120834104 + ... + 120976976.

It is an arithmetic number, because the mean of its divisors is an integer number (586095651127).

Almost surely, 217274137216420 is an apocalyptic number.

17274137216420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17274137216420 is an abundant number, since it is smaller than the sum of its proper divisors (24924749664724).

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

17274137216420 is a wasteful number, since it uses less digits than its factorization.

17274137216420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266269 (or 266260 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 47.

The spelling of 17274137216420 in words is "seventeen trillion, two hundred seventy-four billion, one hundred thirty-seven million, two hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 123373 142873 246746 285746 493492 571492 616865 714365 863611 1000111 1233730 1428730 1727222 2000222 2467460 2857460 3454444 4000444 4318055 5000555 6045277 7000777 8636110 10001110 12090554 14001554 17272220 20002220 24181108 28003108 30226385 35003885 60452770 70007770 120905540 140015540 17626670629 35253341258 70506682516 88133353145 123386694403 176266706290 246773388806 352533412580 493546777612 616933472015 863706860821 1233866944030 1727413721642 2467733888060 3454827443284 4318534304105 8637068608210 17274137216420