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180064194827148 = 223236754764338749
BaseRepresentation
bin101000111100010001110110…
…010111101001001110001100
3212121112222011100001122201100
4220330101312113221032030
5142100132432333432043
61434544203225143100
752633131415305222
oct5074216627511614
9777488140048640
10180064194827148
1152412883797075
121824179262aa90
137961c9981c688
143267221406b12
1515c3d39d67cd3
hexa3c4765e938c

180064194827148 has 144 divisors (see below), whose sum is σ = 457959785920000. Its totient is φ = 59653962006912.

The previous prime is 180064194827147. The next prime is 180064194827161. The reversal of 180064194827148 is 841728491460081.

180064194827148 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 6 + 4 + 1 + 9 + 482 + 7 + 148 = 666.

180064194827148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1800641948271482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180064194827147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4646918478 + ... + 4646957226.

Almost surely, 2180064194827148 is an apocalyptic number.

180064194827148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

180064194827148 is an abundant number, since it is smaller than the sum of its proper divisors (277895591092852).

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

180064194827148 is a wasteful number, since it uses less digits than its factorization.

180064194827148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40316 (or 40311 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 180064194827148 in words is "one hundred eighty trillion, sixty-four billion, one hundred ninety-four million, eight hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 367 547 643 734 1094 1101 1286 1468 1641 1929 2188 2202 2572 3282 3303 3858 4404 4923 5787 6564 6606 7716 9846 11574 13212 19692 23148 38749 77498 116247 154996 200749 232494 235981 348741 351721 401498 464988 471962 602247 697482 703442 707943 802996 943924 1055163 1204494 1394964 1406884 1415886 1806741 2110326 2123829 2408988 2831772 3165489 3613482 4220652 4247658 6330978 7226964 8495316 12661956 14220883 21195703 24915607 28441766 42391406 42662649 49831214 56883532 63587109 74746821 84782812 85325298 99662428 127174218 127987947 129081607 149493642 170650596 190761327 224240463 254348436 255975894 258163214 298987284 381522654 387244821 448480926 511951788 516326428 763045308 774489642 896961852 1161734463 1548979284 2323468926 4646937852 7778823001 9144027769 13628837029 15557646002 18288055538 23336469003 27257674058 27432083307 31115292004 36576111076 40886511087 46672938006 54515348116 54864166614 70009407009 81773022174 82296249921 93345876012 109728333228 122659533261 140018814018 163546044348 164592499842 245319066522 280037628036 329184999684 490638133044 5001783189643 10003566379286 15005349568929 20007132758572 30010699137858 45016048706787 60021398275716 90032097413574 180064194827148