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329473901768 = 231121929712
BaseRepresentation
bin1001100101101100010…
…11001100010011001000
31011111102121021101000112
410302312023030103020
520344230304324033
6411205213053452
732542445646164
oct4626613142310
91144377241015
10329473901768
11117802478a00
1253a30187288
13250b920187b
1411d3775dca4
158885016c48
hex4cb62cc4c8

329473901768 has 108 divisors (see below), whose sum is σ = 717387542235. Its totient is φ = 141732597600.

The previous prime is 329473901753. The next prime is 329473901797. The reversal of 329473901768 is 867109374923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 164736950884 + 164736950884 = 405878^2 + 405878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=405878.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339313523 + ... + 339314493.

Almost surely, 2329473901768 is an apocalyptic number.

329473901768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329473901768

329473901768 is an abundant number, since it is smaller than the sum of its proper divisors (387913640467).

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

329473901768 is an equidigital number, since it uses as much as digits as its factorization.

329473901768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 59.

The spelling of 329473901768 in words is "three hundred twenty-nine billion, four hundred seventy-three million, nine hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 418 484 722 836 968 971 1444 1672 1942 2299 2888 3884 3971 4598 7768 7942 9196 10681 15884 18392 18449 21362 31768 36898 42724 43681 73796 85448 87362 117491 147592 174724 202939 234982 349448 350531 405878 469964 701062 811756 939928 942841 1402124 1623512 1885682 2232329 2804248 3771364 3855841 4464658 7542728 7711682 8929316 10371251 15423364 17858632 17913979 20742502 30846728 35827958 41485004 42414251 71655916 82970008 84828502 114083761 143311832 169657004 197053769 228167522 339314008 340365601 394107538 456335044 680731202 788215076 912670088 1361462404 1576430152 2167591459 2722924808 3744021611 4335182918 7488043222 8670365836 14976086444 17340731672 29952172888 41184237721 82368475442 164736950884 329473901768