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164063130504 = 233713262128661
BaseRepresentation
bin1001100011001011101…
…1001011001110001000
3120200110211201120012220
42120302323023032020
510142000130134004
6203211454134040
714565431412510
oct2306273131610
9520424646186
10164063130504
11636403a6259
12279684b1320
1312617c93160
147d253bc840
154403532dd9
hex2632ecb388

164063130504 has 128 divisors (see below), whose sum is σ = 505019854080. Its totient is φ = 43251379200.

The previous prime is 164063130433. The next prime is 164063130521. The reversal of 164063130504 is 405031360461.

164063130504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5709934 + ... + 5738594.

It is an arithmetic number, because the mean of its divisors is an integer number (3945467610).

Almost surely, 2164063130504 is an apocalyptic number.

164063130504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164063130504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252509927040).

164063130504 is an abundant number, since it is smaller than the sum of its proper divisors (340956723576).

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

164063130504 is a wasteful number, since it uses less digits than its factorization.

164063130504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31311 (or 31307 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 164063130504 its reverse (405031360461), we get a palindrome (569094490965).

The spelling of 164063130504 in words is "one hundred sixty-four billion, sixty-three million, one hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2621 5242 7863 10484 15726 18347 20968 28661 31452 34073 36694 55041 57322 62904 68146 73388 85983 102219 110082 114644 136292 146776 171966 200627 204438 220164 229288 238511 272584 343932 372593 401254 408876 440328 477022 601881 687864 715533 745186 802508 817752 954044 1117779 1203762 1431066 1490372 1605016 1908088 2235558 2407524 2608151 2862132 2980744 4471116 4815048 5216302 5724264 7824453 8942232 10432604 15648906 20865208 31297812 62595624 75120481 150240962 225361443 300481924 450722886 525843367 600963848 901445772 976566253 1051686734 1577530101 1802891544 1953132506 2103373468 2929698759 3155060202 3906265012 4206746936 5859397518 6310120404 6835963771 7812530024 11718795036 12620240808 13671927542 20507891313 23437590072 27343855084 41015782626 54687710168 82031565252 164063130504