Search a number
-
+
59960000148 = 22329414789413
BaseRepresentation
bin110111110101111001…
…001111111010010100
312201202201022121021020
4313311321033322110
51440244230001043
643313434521140
74221602410026
oct676571177224
9181681277236
1059960000148
1123479947634
12b7545961b0
135867393739
142c8b440016
15185dea0e83
hexdf5e4fe94

59960000148 has 96 divisors (see below), whose sum is σ = 151417244160. Its totient is φ = 18426024960.

The previous prime is 59960000117. The next prime is 59960000159. The reversal of 59960000148 is 84100006995.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625890 + ... + 715302.

It is an arithmetic number, because the mean of its divisors is an integer number (1577262960).

Almost surely, 259960000148 is an apocalyptic number.

59960000148 is a gapful number since it is divisible by the number (58) 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 59960000148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75708622080).

59960000148 is an abundant number, since it is smaller than the sum of its proper divisors (91457244012).

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

59960000148 is a wasteful number, since it uses less digits than its factorization.

59960000148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89537 (or 89535 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 59960000148 in words is "fifty-nine billion, nine hundred sixty million, one hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 41 47 58 82 87 94 116 123 141 164 174 188 246 282 348 492 564 1189 1363 1927 2378 2726 3567 3854 4089 4756 5452 5781 7134 7708 8178 11562 14268 16356 23124 55883 89413 111766 167649 178826 223532 268239 335298 357652 536478 670596 1072956 2592977 3665933 4202411 5185954 7331866 7778931 8404822 10371908 10997799 12607233 14663732 15557862 16809644 21995598 25214466 31115724 43991196 50428932 106312057 121869919 172298851 212624114 243739838 318936171 344597702 365609757 425248228 487479676 516896553 637872342 689195404 731219514 1033793106 1275744684 1462439028 2067586212 4996666679 9993333358 14990000037 19986666716 29980000074 59960000148