Search a number
-
+
3261616161648 = 243137277189751
BaseRepresentation
bin101111011101100111011…
…110010000001101110000
3102112210210122020021200120
4233131213132100031300
5411414242214133043
610534211001450240
7454433613640245
oct57354736201560
912483718207616
103261616161648
111048275325119
124481587a0980
131a8752380310
14b3c1236b5cc
1559c9725d983
hex2f767790370

3261616161648 has 80 divisors (see below), whose sum is σ = 9086466095616. Its totient is φ = 1002193632000.

The previous prime is 3261616161541. The next prime is 3261616161653. The reversal of 3261616161648 is 8461616161623.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3261616161648.

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, 3141228 + ... + 4048523.

Almost surely, 23261616161648 is an apocalyptic number.

It is an amenable number.

3261616161648 is an abundant number, since it is smaller than the sum of its proper divisors (5824849933968).

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

3261616161648 is a wasteful number, since it uses less digits than its factorization.

3261616161648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190502 (or 7190496 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 3261616161648 in words is "three trillion, two hundred sixty-one billion, six hundred sixteen million, one hundred sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 727 1454 2181 2908 4362 5816 8724 9451 11632 17448 18902 28353 34896 37804 56706 75608 113412 151216 226824 453648 7189751 14379502 21569253 28759004 43138506 57518008 86277012 93466763 115036016 172554024 186933526 280400289 345108048 373867052 560800578 747734104 1121601156 1495468208 2243202312 4486404624 5226948977 10453897954 15680846931 20907795908 31361693862 41815591816 62723387724 67950336701 83631183632 125446775448 135900673402 203851010103 250893550896 271801346804 407702020206 543602693608 815404040412 1087205387216 1630808080824 3261616161648