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164023513581324 = 223172472890134819
BaseRepresentation
bin100101010010110110110011…
…010000110000011100001100
3210111202111100200100102220110
4211102312303100300130030
5132444330123434100244
61340503210100520020
746356210400344255
oct4522666320603414
9714674320312813
10164023513581324
1148298a88372591
1216490a329b0010
13706a4740aaa97
142c70acd665b2c
1513e69647899b9
hex952db343070c

164023513581324 has 144 divisors (see below), whose sum is σ = 415235339205120. Its totient is φ = 50360309529600.

The previous prime is 164023513581299. The next prime is 164023513581331. The reversal of 164023513581324 is 423185315320461.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4710729987 + ... + 4710764805.

It is an arithmetic number, because the mean of its divisors is an integer number (2883578744480).

Almost surely, 2164023513581324 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 164023513581324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207617669602560).

164023513581324 is an abundant number, since it is smaller than the sum of its proper divisors (251211825623796).

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

164023513581324 is a wasteful number, since it uses less digits than its factorization.

164023513581324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63808 (or 63789 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 164023513581324 in words is "one hundred sixty-four trillion, twenty-three billion, five hundred thirteen million, five hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 289 564 578 799 867 1156 1598 1734 2397 3196 3468 4794 9588 13583 27166 28901 34819 40749 54332 57802 69638 81498 86703 104457 115604 139276 162996 173406 208914 346812 417828 491317 591923 982634 1183846 1358347 1473951 1636493 1775769 1965268 2367692 2716694 2947902 3272986 3551538 4075041 4909479 5433388 5895804 6545972 7103076 8150082 8352389 9818958 10062691 16300164 16704778 19637916 20125382 23091899 25057167 27820381 30188073 33409556 40250764 46183798 50114334 55640762 60376146 69275697 83461143 92367596 100228668 111281524 120752292 138551394 166922286 277102788 333844572 392562283 472946477 785124566 945892954 1006303919 1177686849 1418839431 1570249132 1891785908 2012607838 2355373698 2837678862 3018911757 4025215676 4710747396 5675357724 6037823514 12075647028 17107166623 34214333246 47296284193 51321499869 68428666492 94592568386 102642999738 141888852579 189185136772 205285999476 283777705158 290821832591 567555410316 581643665182 804036831281 872465497773 1163287330364 1608073662562 1744930995546 2412110493843 3216147325124 3489861991092 4824220987686 9648441975372 13668626131777 27337252263554 41005878395331 54674504527108 82011756790662 164023513581324