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329143312240672 = 25314328127459877
BaseRepresentation
bin100101011010110101010011…
…0001101001101000000100000
31121011101210102100111001121211
41022311222212031031000200
5321120141000413200142
63124010203351355504
7126220551053313016
oct11265524615150040
91534353370431554
10329143312240672
1195969993014206
1230aba219382b94
1311187109417237
145b3c89ac4c8b6
15280bb8d7b2917
hex12b5aa634d020

329143312240672 has 96 divisors (see below), whose sum is σ = 686895887107584. Its totient is φ = 155005508044800.

The previous prime is 329143312240669. The next prime is 329143312240693. The reversal of 329143312240672 is 276042213341923.

It is a super-3 number, since 3×3291433122406723 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743603 + ... + 25716274.

It is an arithmetic number, because the mean of its divisors is an integer number (7155165490704).

Almost surely, 2329143312240672 is an apocalyptic number.

329143312240672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

329143312240672 is an abundant number, since it is smaller than the sum of its proper divisors (357752574866912).

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

329143312240672 is a wasteful number, since it uses less digits than its factorization.

329143312240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27460242 (or 27460234 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

The spelling of 329143312240672 in words is "three hundred twenty-nine trillion, one hundred forty-three billion, three hundred twelve million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 281 344 496 562 688 992 1124 1333 1376 2248 2666 4496 5332 8711 8992 10664 12083 17422 21328 24166 34844 42656 48332 69688 96664 139376 193328 278752 374573 386656 749146 1498292 2996584 5993168 11986336 27459877 54919754 109839508 219679016 439358032 851256187 878716064 1180774711 1702512374 2361549422 3405024748 4723098844 6810049496 7716225437 9446197688 13620098992 15432450874 18892395376 27240197984 30864901748 36604016041 37784790752 61729803496 73208032082 123459606992 146416064164 239202988547 246919213984 292832128328 331797693791 478405977094 585664256656 663595387582 956811954188 1171328513312 1327190775164 1913623908376 2654381550328 3827247816752 5308763100656 7654495633504 10285728507521 10617526201312 20571457015042 41142914030084 82285828060168 164571656120336 329143312240672