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329092230656 = 297641143249
BaseRepresentation
bin1001100100111110110…
…11001110111000000000
31011110110000002110200102
410302133123032320000
520342440102340111
6411103300341532
732530132543340
oct4623733167000
91143400073612
10329092230656
11117626a91832
12539443a48a8
1325058109b87
1411cdcbaad20
15886177413b
hex4c9f6cee00

329092230656 has 80 divisors (see below), whose sum is σ = 752653836000. Its totient is φ = 140818513920.

The previous prime is 329092230647. The next prime is 329092230667. The reversal of 329092230656 is 656032290923.

It is a self number, because there is not a number n which added to its sum of digits gives 329092230656.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2225720 + ... + 2368968.

It is an arithmetic number, because the mean of its divisors is an integer number (9408172950).

Almost surely, 2329092230656 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 329092230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376326918000).

329092230656 is an abundant number, since it is smaller than the sum of its proper divisors (423561605344).

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

329092230656 is an equidigital number, since it uses as much as digits as its factorization.

329092230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143915 (or 143899 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 47.

The spelling of 329092230656 in words is "three hundred twenty-nine billion, ninety-two million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 641 896 1282 1792 2564 3584 4487 5128 8974 10256 17948 20512 35896 41024 71792 82048 143249 143584 164096 286498 287168 328192 572996 574336 1002743 1145992 1148672 2005486 2291984 2297344 4010972 4583968 8021944 9167936 16043888 18335872 32087776 36671744 64175552 73343488 91822609 128351104 183645218 256702208 367290436 513404416 642758263 734580872 1285516526 1469161744 2571033052 2938323488 5142066104 5876646976 10284132208 11753293952 20568264416 23506587904 41136528832 47013175808 82273057664 164546115328 329092230656