Search a number
-
+
2175106331712 = 263163499913903
BaseRepresentation
bin11111101001101110011…
…100001011010001000000
321200221022220022011100010
4133221232130023101000
5241114104210103322
64343121405224520
7313101106523466
oct37515634132100
97627286264303
102175106331712
11769503901606
122b1672862140
1312a15b3997c2
14773c0786836
153b8a5c8520c
hex1fa6e70b440

2175106331712 has 112 divisors (see below), whose sum is σ = 5791850240000. Its totient is φ = 720391408128.

The previous prime is 2175106331711. The next prime is 2175106331831. The reversal of 2175106331712 is 2171336015712.

It is not an unprimeable number, because it can be changed into a prime (2175106331711) 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, 156441753 + ... + 156455655.

Almost surely, 22175106331712 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 2175106331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895925120000).

2175106331712 is an abundant number, since it is smaller than the sum of its proper divisors (3616743908288).

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

2175106331712 is a wasteful number, since it uses less digits than its factorization.

2175106331712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19080 (or 19070 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 2175106331712 in words is "two trillion, one hundred seventy-five billion, one hundred six million, three hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3912 4999 5216 7824 9998 10432 13903 14997 15648 19996 27806 29994 31296 39992 41709 55612 59988 79984 83418 111224 119976 159968 166836 222448 239952 319936 333672 444896 479904 667344 814837 889792 959808 1334688 1629674 2266189 2444511 2669376 3259348 4532378 4889022 6518696 6798567 9064756 9778044 13037392 13597134 18129512 19556088 26074784 27194268 36259024 39112176 52149568 54388536 69501097 72518048 78224352 108777072 139002194 145036096 156448704 208503291 217554144 278004388 417006582 435108288 556008776 834013164 1112017552 1668026328 2224035104 3336052656 4448070208 6672105312 11328678811 13344210624 22657357622 33986036433 45314715244 67972072866 90629430488 135944145732 181258860976 271888291464 362517721952 543776582928 725035443904 1087553165856 2175106331712