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164884412880 = 243251120818739
BaseRepresentation
bin1001100110001111100…
…0000111100111010000
3120202121002010000211200
42121203320013213100
510200140402203010
6203425153111200
714624663245665
oct2314370074720
9522532100750
10164884412880
1163a21a52920
1227b57558500
1312719188065
147da24c7a6c
1544506b0cc0
hex2663e079d0

164884412880 has 120 divisors (see below), whose sum is σ = 604076559840. Its totient is φ = 39971976960.

The previous prime is 164884412873. The next prime is 164884412897. The reversal of 164884412880 is 88214488461.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1648844128802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10401450 + ... + 10417289.

It is an arithmetic number, because the mean of its divisors is an integer number (5033971332).

Almost surely, 2164884412880 is an apocalyptic number.

164884412880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164884412880 is an abundant number, since it is smaller than the sum of its proper divisors (439192146960).

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

164884412880 is a wasteful number, since it uses less digits than its factorization.

164884412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818769 (or 20818760 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 164884412880 in words is "one hundred sixty-four billion, eight hundred eighty-four million, four hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 20818739 41637478 62456217 83274956 104093695 124912434 166549912 187368651 208187390 229006129 249824868 312281085 333099824 374737302 416374780 458012258 499649736 624562170 687018387 749474604 832749560 916024516 936843255 999299472 1145030645 1249124340 1374036774 1498949208 1665499120 1832049032 1873686510 2061055161 2290061290 2498248680 2748073548 2997898416 3435091935 3664098064 3747373020 4122110322 4580122580 4996497360 5496147096 6870183870 7494746040 8244220644 9160245160 10305275805 10992294192 13740367740 14989492080 16488441288 18320490320 20610551610 27480735480 32976882576 41221103220 54961470960 82442206440 164884412880