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66130441615530 = 2345193423018241
BaseRepresentation
bin11110000100101001100010…
…11110110011100010101010
322200011000020011211201010000
433002110301132303202222
532131440121023144110
6352351523330003430
716633523664043035
oct1702246136634252
9280130204751100
1066130441615530
111a0868433029a6
127500633116576
132ab90c6435376
141248a3250a01c
1579a3105331c0
hex3c25317b38aa

66130441615530 has 80 divisors (see below), whose sum is σ = 178738743828744. Its totient is φ = 17543412449280.

The previous prime is 66130441615507. The next prime is 66130441615531. The reversal of 66130441615530 is 3551614403166.

66130441615530 is a `hidden beast` number, since 6 + 6 + 1 + 30 + 4 + 4 + 1 + 61 + 553 + 0 = 666.

66130441615530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49634716226481 + 16495725389049 = 7045191^2 + 4061493^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66130441615531) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 211352791 + ... + 211665450.

Almost surely, 266130441615530 is an apocalyptic number.

66130441615530 is an abundant number, since it is smaller than the sum of its proper divisors (112608302213214).

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

66130441615530 is a wasteful number, since it uses less digits than its factorization.

66130441615530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423018453 (or 423018444 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 66130441615530 in words is "sixty-six trillion, one hundred thirty billion, four hundred forty-one million, six hundred fifteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 193 270 386 405 579 810 965 1158 1737 1930 2895 3474 5211 5790 8685 10422 15633 17370 26055 31266 52110 78165 156330 423018241 846036482 1269054723 2115091205 2538109446 3807164169 4230182410 6345273615 7614328338 11421492507 12690547230 19035820845 22842985014 34264477521 38071641690 57107462535 68528955042 81642520513 114214925070 163285041026 171322387605 244927561539 342644775210 408212602565 489855123078 734782684617 816425205130 1224637807695 1469565369234 2204348053851 2449275615390 3673913423085 4408696107702 6613044161553 7347826846170 11021740269255 13226088323106 22043480538510 33065220807765 66130441615530