Search a number
-
+
3209426692864 = 2872809316259
BaseRepresentation
bin101110101101000000101…
…111001110101100000000
3102100211002110112120112021
4232231000233032230000
5410040401213132424
610454220144211224
7450605404526500
oct56550057165400
912324073476467
103209426692864
111028123775837
1243a012609b14
131a3855b28542
14b14a0d41a00
155874057c4e4
hex2eb40bceb00

3209426692864 has 108 divisors (see below), whose sum is σ = 7461481066200. Its totient is φ = 1373764030464.

The previous prime is 3209426692817. The next prime is 3209426692867. The reversal of 3209426692864 is 4682966249023.

It is not an unprimeable number, because it can be changed into a prime (3209426692867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9989967 + ... + 10306225.

It is an arithmetic number, because the mean of its divisors is an integer number (69087787650).

Almost surely, 23209426692864 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 3209426692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730740533100).

3209426692864 is an abundant number, since it is smaller than the sum of its proper divisors (4252054373336).

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

3209426692864 is an equidigital number, since it uses as much as digits as its factorization.

3209426692864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317098 (or 317077 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 61.

The spelling of 3209426692864 in words is "three trillion, two hundred nine billion, four hundred twenty-six million, six hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 809 896 1568 1618 1792 3136 3236 5663 6272 6472 11326 12544 12944 22652 25888 39641 45304 51776 79282 90608 103552 158564 181216 207104 316259 317128 362432 632518 634256 724864 1265036 1268512 1449728 2213813 2530072 2537024 4427626 5060144 5074048 8855252 10120288 10148096 15496691 17710504 20240576 30993382 35421008 40481152 61986764 70842016 80962304 123973528 141684032 247947056 255853531 283368064 495894112 511707062 566736128 991788224 1023414124 1790974717 1983576448 2046828248 3581949434 3967152896 4093656496 7163898868 8187312992 12536823019 14327797736 16374625984 25073646038 28655595472 32749251968 50147292076 57311190944 65498503936 100294584152 114622381888 200589168304 229244763776 401178336608 458489527552 802356673216 1604713346432 3209426692864