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130006518384 = 24319823173209
BaseRepresentation
bin111100100010011111…
…1100000101001110000
3110102120101012102011110
41321010333200221300
54112223132042014
6135420230513320
712251453113251
oct1710477405160
9412511172143
10130006518384
1150154321526
1221242b05840
13c34b347772
1464142c4b28
1535ad6eed59
hex1e44fe0a70

130006518384 has 80 divisors (see below), whose sum is σ = 353958099200. Its totient is φ = 41004569088.

The previous prime is 130006518379. The next prime is 130006518409. The reversal of 130006518384 is 483815600031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663972 + ... + 837180.

It is an arithmetic number, because the mean of its divisors is an integer number (4424476240).

Almost surely, 2130006518384 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 130006518384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176979049600).

130006518384 is an abundant number, since it is smaller than the sum of its proper divisors (223951580816).

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

130006518384 is a wasteful number, since it uses less digits than its factorization.

130006518384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174062 (or 174056 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 130006518384 in words is "one hundred thirty billion, six million, five hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 823 912 1646 2469 3292 4938 6584 9876 13168 15637 19752 31274 39504 46911 62548 93822 125096 173209 187644 250192 346418 375288 519627 692836 750576 1039254 1385672 2078508 2771344 3290971 4157016 6581942 8314032 9872913 13163884 19745826 26327768 39491652 52655536 78983304 142551007 157966608 285102014 427653021 570204028 855306042 1140408056 1710612084 2280816112 2708469133 3421224168 5416938266 6842448336 8125407399 10833876532 16250814798 21667753064 32501629596 43335506128 65003259192 130006518384