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130787888186208 = 253111719419915139
BaseRepresentation
bin11101101111001101101101…
…100111011100001101100000
3122011002012101210122010201110
4131233031231213130031200
5114120312043333424313
61142055043144103320
736356053535612151
oct3557155547341540
9564065353563643
10130787888186208
113874491727aa60
121280369b164b40
1357c932517b226
14244224bb1b928
15101c15e3ceec3
hex76f36d9dc360

130787888186208 has 384 divisors, whose sum is σ = 418428364032000. Its totient is φ = 35253751357440.

The previous prime is 130787888186203. The next prime is 130787888186251. The reversal of 130787888186208 is 802681888787031.

It is a super-2 number, since 2×1307878881862082 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130787888186208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130787888186203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142458303 + ... + 143373441.

It is an arithmetic number, because the mean of its divisors is an integer number (1089657198000).

Almost surely, 2130787888186208 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 130787888186208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209214182016000).

130787888186208 is an abundant number, since it is smaller than the sum of its proper divisors (287640475845792).

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

130787888186208 is a wasteful number, since it uses less digits than its factorization.

130787888186208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915618 (or 915610 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 75.

The spelling of 130787888186208 in words is "one hundred thirty trillion, seven hundred eighty-seven billion, eight hundred eighty-eight million, one hundred eighty-six thousand, two hundred eight".