Search a number
-
+
2731696799340 = 2235172672351303
BaseRepresentation
bin100111110000000101110…
…100010011111001101100
3100200010222122110111012010
4213300011310103321230
5324224003340034330
65450531342441220
7401233664452215
oct47600564237154
910603878414163
102731696799340
1196356269aa13
12381507893210
1316a7a0791b82
14963016d040c
154b0ceb2e3b0
hex27c05d13e6c

2731696799340 has 144 divisors (see below), whose sum is σ = 8246418147072. Its totient is φ = 675369176064.

The previous prime is 2731696799329. The next prime is 2731696799389. The reversal of 2731696799340 is 439976961372.

2731696799340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13872 + ... + 2337431.

It is an arithmetic number, because the mean of its divisors is an integer number (57266792688).

Almost surely, 22731696799340 is an apocalyptic number.

2731696799340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731696799340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123209073536).

2731696799340 is an abundant number, since it is smaller than the sum of its proper divisors (5514721347732).

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

2731696799340 is a wasteful number, since it uses less digits than its factorization.

2731696799340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351416 (or 2351397 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 66.

The spelling of 2731696799340 in words is "two trillion, seven hundred thirty-one billion, six hundred ninety-six million, seven hundred ninety-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 289 335 340 402 510 578 670 804 867 1005 1020 1139 1156 1340 1445 1734 2010 2278 2890 3417 3468 4020 4335 4556 5695 5780 6834 8670 11390 13668 17085 17340 19363 22780 34170 38726 58089 68340 77452 96815 116178 193630 232356 290445 387260 580890 1161780 2351303 4702606 7053909 9405212 11756515 14107818 23513030 28215636 35269545 39972151 47026060 70539090 79944302 119916453 141078180 157537301 159888604 199860755 239832906 315074602 399721510 472611903 479665812 599582265 630149204 679526567 787686505 799443020 945223806 1199164530 1359053134 1575373010 1890447612 2038579701 2363059515 2398329060 2678134117 2718106268 3150746020 3397632835 4077159402 4726119030 5356268234 6795265670 8034402351 8154318804 9452238060 10192898505 10712536468 13390670585 13590531340 16068804702 20385797010 26781341170 32137609404 40172011755 40771594020 45528279989 53562682340 80344023510 91056559978 136584839967 160688047020 182113119956 227641399945 273169679934 455282799890 546339359868 682924199835 910565599780 1365848399670 2731696799340