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164960230127 = 71124113734673
BaseRepresentation
bin1001100110100001100…
…1010101101011101111
3120202210100202221112212
42121220121111223233
510200314304331002
6203440502121035
714626603551350
oct2315031255357
9522710687485
10164960230127
1163a60827500
1227b78a2017b
131272bab2634
147dac5c1d27
15445718a352
hex2668655aef

164960230127 has 48 divisors (see below), whose sum is σ = 213832616256. Its totient is φ = 124486348800.

The previous prime is 164960230111. The next prime is 164960230151. The reversal of 164960230127 is 721032069461.

It is not a de Polignac number, because 164960230127 - 24 = 164960230111 is a prime.

It is a super-2 number, since 2×1649602301272 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164960230177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4740263 + ... + 4774935.

It is an arithmetic number, because the mean of its divisors is an integer number (4454846172).

Almost surely, 2164960230127 is an apocalyptic number.

164960230127 is a deficient number, since it is larger than the sum of its proper divisors (48872386129).

164960230127 is a wasteful number, since it uses less digits than its factorization.

164960230127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34880 (or 34869 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

Adding to 164960230127 its reverse (721032069461), we get a palindrome (885992299588).

The spelling of 164960230127 in words is "one hundred sixty-four billion, nine hundred sixty million, two hundred thirty thousand, one hundred twenty-seven".

Divisors: 1 7 11 41 77 121 137 287 451 847 959 1507 3157 4961 5617 10549 16577 34673 34727 39319 61787 116039 242711 381403 432509 679657 1421593 2669821 4195433 4750201 4757599 9951151 15637523 29368031 33251407 52252211 109462661 172012753 194758241 365765477 574774321 1204089271 1363307687 2142340651 4023420247 14996384557 23565747161 164960230127