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329798174112 = 253211104102959
BaseRepresentation
bin1001100110010011000…
…00001100010110100000
31011112021012110010001100
410303021200030112200
520400411313032422
6411301315234400
732553464140461
oct4631140142640
91145235403040
10329798174112
11117959520580
1253b008a8a00
132513b44a5b4
1411d68850d68
1588a371c7ac
hex4cc980c5a0

329798174112 has 72 divisors (see below), whose sum is σ = 1023123890880. Its totient is φ = 99938839680.

The previous prime is 329798174093. The next prime is 329798174131. The reversal of 329798174112 is 211471897923.

It is an interprime number because it is at equal distance from previous prime (329798174093) and next prime (329798174131).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52048312 + ... + 52054647.

It is an arithmetic number, because the mean of its divisors is an integer number (14210054040).

Almost surely, 2329798174112 is an apocalyptic number.

329798174112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

329798174112 is an abundant number, since it is smaller than the sum of its proper divisors (693325716768).

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

329798174112 is a wasteful number, since it uses less digits than its factorization.

329798174112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104102986 (or 104102975 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 329798174112 in words is "three hundred twenty-nine billion, seven hundred ninety-eight million, one hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 104102959 208205918 312308877 416411836 624617754 832823672 936926631 1145132549 1249235508 1665647344 1873853262 2290265098 2498471016 3331294688 3435397647 3747706524 4580530196 4996942032 6870795294 7495413048 9161060392 9993884064 10306192941 13741590588 14990826096 18322120784 20612385882 27483181176 29981652192 36644241568 41224771764 54966362352 82449543528 109932724704 164899087056 329798174112