Search a number
-
+
67834640233344 = 273383461234227
BaseRepresentation
bin11110110110001111110111…
…01000100111001110000000
322220011221001201012102012110
433123013323220213032000
532342400320344431334
6400134445320455320
720200614423221625
oct1733077350471600
9286157051172173
1067834640233344
111a683566a6a166
12773698391a540
132bb0a1898167a
1412a72dd71034c
157c980475bae9
hex3db1fba27380

67834640233344 has 64 divisors (see below), whose sum is σ = 180656222423040. Its totient is φ = 22552508714496.

The previous prime is 67834640233319. The next prime is 67834640233397. The reversal of 67834640233344 is 44333204643876.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230470042 + ... + 230764185.

It is an arithmetic number, because the mean of its divisors is an integer number (2822753475360).

Almost surely, 267834640233344 is an apocalyptic number.

67834640233344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67834640233344 is an abundant number, since it is smaller than the sum of its proper divisors (112821582189696).

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

67834640233344 is a wasteful number, since it uses less digits than its factorization.

67834640233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461234627 (or 461234615 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 57.

The spelling of 67834640233344 in words is "sixty-seven trillion, eight hundred thirty-four billion, six hundred forty million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 383 384 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 24512 36768 49024 73536 147072 461234227 922468454 1383702681 1844936908 2767405362 3689873816 5534810724 7379747632 11069621448 14759495264 22139242896 29518990528 44278485792 59037981056 88556971584 176652708941 177113943168 353305417882 529958126823 706610835764 1059916253646 1413221671528 2119832507292 2826443343056 4239665014584 5652886686112 8479330029168 11305773372224 16958660058336 22611546744448 33917320116672 67834640233344