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66106166130 = 23252925328033
BaseRepresentation
bin111101100100001111…
…000000101101110010
320022122001102011222100
4331210033000231302
52040341134304010
650211352321230
74530113066214
oct754417005562
9208561364870
1066106166130
1126043231054
121098a9a3216
136306818244
1432b181a5b4
151abd85c2c0
hexf643c0b72

66106166130 has 48 divisors (see below), whose sum is σ = 177802798680. Its totient is φ = 17020437504.

The previous prime is 66106166117. The next prime is 66106166167. The reversal of 66106166130 is 3166160166.

It is a happy number.

66106166130 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 616 + 6 + 1 + 30 = 666.

66106166130 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 57959118009 + 8147048121 = 240747^2 + 90261^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12661407 + ... + 12666626.

Almost surely, 266106166130 is an apocalyptic number.

66106166130 is an abundant number, since it is smaller than the sum of its proper divisors (111696632550).

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

66106166130 is a wasteful number, since it uses less digits than its factorization.

66106166130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25328075 (or 25328072 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 66106166130 in words is "sixty-six billion, one hundred six million, one hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 25328033 50656066 75984099 126640165 151968198 227952297 253280330 379920495 455904594 734512957 759840990 1139761485 1469025914 2203538871 2279522970 3672564785 4407077742 6610616613 7345129570 11017694355 13221233226 22035388710 33053083065 66106166130