Search a number
-
+
2649170242416 = 2431271123386977
BaseRepresentation
bin100110100011001110110…
…110011110101101110000
3100101020222020012000122210
4212203032312132231300
5321401000040224131
65345002332132120
7362252623343355
oct46431666365560
910336866160583
102649170242416
119315635a1265
12369515907040
13162a7b08cb79
149231319062c
1548d9e93b146
hex268ced9eb70

2649170242416 has 80 divisors (see below), whose sum is σ = 6903737053184. Its totient is φ = 875321137152.

The previous prime is 2649170242403. The next prime is 2649170242483. The reversal of 2649170242416 is 6142420719462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652320 + ... + 7039296.

Almost surely, 22649170242416 is an apocalyptic number.

It is an amenable number.

2649170242416 is an abundant number, since it is smaller than the sum of its proper divisors (4254566810768).

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

2649170242416 is a wasteful number, since it uses less digits than its factorization.

2649170242416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388238 (or 388232 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2649170242416 in words is "two trillion, six hundred forty-nine billion, one hundred seventy million, two hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1123 1524 2032 2246 3048 3369 4492 6096 6738 8984 13476 17968 26952 53904 142621 285242 386977 427863 570484 773954 855726 1140968 1160931 1547908 1711452 2281936 2321862 3095816 3422904 4643724 6191632 6845808 9287448 18574896 49146079 98292158 147438237 196584316 294876474 393168632 434575171 589752948 786337264 869150342 1179505896 1303725513 1738300684 2359011792 2607451026 3476601368 5214902052 6953202736 10429804104 20859608208 55191046717 110382093434 165573140151 220764186868 331146280302 441528373736 662292560604 883056747472 1324585121208 2649170242416