Search a number
-
+
2731713534160 = 245134309360953
BaseRepresentation
bin100111110000000110110…
…100001001100011010000
3100200011000210221201001021
4213300012310021203100
5324224022131043120
65450533141245224
7401234256631612
oct47600664114320
910604023851037
102731713534160
11963571090046
12381511403814
1316a7a40a1030
1496303a08db2
154b0d1337aaa
hex27c06d098d0

2731713534160 has 80 divisors (see below), whose sum is σ = 6840061364304. Its totient is φ = 1008592736256.

The previous prime is 2731713534119. The next prime is 2731713534217. The reversal of 2731713534160 is 614353171372.

It can be written as a sum of positive squares in 8 ways, for example, as 725501911696 + 2006211622464 = 851764^2 + 1416408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44786244 + ... + 44847196.

Almost surely, 22731713534160 is an apocalyptic number.

2731713534160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2731713534160 is an abundant number, since it is smaller than the sum of its proper divisors (4108347830144).

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

2731713534160 is a wasteful number, since it uses less digits than its factorization.

2731713534160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104072 (or 104066 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 2731713534160 in words is "two trillion, seven hundred thirty-one billion, seven hundred thirteen million, five hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 43093 60953 86186 121906 172372 215465 243812 304765 344744 430930 487624 560209 609530 689488 792389 861860 975248 1120418 1219060 1584778 1723720 2240836 2438120 2801045 3169556 3447440 3961945 4481672 4876240 5602090 6339112 7923890 8963344 11204180 12678224 15847780 22408360 31695560 44816720 63391120 2626647629 5253295258 10506590516 13133238145 21013181032 26266476290 34146419177 42026362064 52532952580 68292838354 105065905160 136585676708 170732095885 210131810320 273171353416 341464191770 546342706832 682928383540 1365856767080 2731713534160