Search a number
-
+
66930014232 = 23341947115663
BaseRepresentation
bin111110010101010101…
…101111100000011000
320101202110122000010000
4332111111233200120
52044033040423412
650425222253000
74556405506554
oct762525574030
9211673560100
1066930014232
1126426280354
1210b7a887160
1364083cac23
14334cdd2864
151b1ad454dc
hexf9556f818

66930014232 has 160 divisors (see below), whose sum is σ = 201532953600. Its totient is φ = 20685917376.

The previous prime is 66930014183. The next prime is 66930014233. The reversal of 66930014232 is 23241003966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66930014233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 520833 + ... + 636495.

It is an arithmetic number, because the mean of its divisors is an integer number (1259580960).

Almost surely, 266930014232 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 66930014232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100766476800).

66930014232 is an abundant number, since it is smaller than the sum of its proper divisors (134602939368).

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

66930014232 is a wasteful number, since it uses less digits than its factorization.

66930014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115747 (or 115734 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 66930014232 in words is "sixty-six billion, nine hundred thirty million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 81 94 108 114 141 152 162 171 188 216 228 282 324 342 376 423 456 513 564 648 684 846 893 1026 1128 1269 1368 1539 1692 1786 2052 2538 2679 3078 3384 3572 3807 4104 5076 5358 6156 7144 7614 8037 10152 10716 12312 15228 16074 21432 24111 30456 32148 48222 64296 72333 96444 115663 144666 192888 231326 289332 346989 462652 578664 693978 925304 1040967 1387956 2081934 2197597 2775912 3122901 4163868 4395194 5436161 6245802 6592791 8327736 8790388 9368703 10872322 12491604 13185582 16308483 17580776 18737406 19778373 21744644 24983208 26371164 32616966 37474812 39556746 43489288 48925449 52742328 59335119 65233932 74949624 79113492 97850898 103287059 118670238 130467864 146776347 158226984 178005357 195701796 206574118 237340476 293552694 309861177 356010714 391403592 413148236 440329041 474680952 587105388 619722354 712021428 826296472 880658082 929583531 1174210776 1239444708 1424042856 1761316164 1859167062 2478889416 2788750593 3522632328 3718334124 5577501186 7436668248 8366251779 11155002372 16732503558 22310004744 33465007116 66930014232