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137650646169 = 321922322832
BaseRepresentation
bin1000000000110010011…
…1100010110010011001
3111011022002222100011100
42000030213202302121
54223402031134134
6143122535022013
712642053121141
oct2001447426231
9434262870140
10137650646169
1153417223903
1222816b0a909
13cc98c298ba
14693b5d3921
1538a9851999
hex200c9e2c99

137650646169 has 81 divisors (see below), whose sum is σ = 220142370357. Its totient is φ = 82863527472.

The previous prime is 137650646167. The next prime is 137650646173. The reversal of 137650646169 is 961646056731.

It is a happy number.

The square root of 137650646169 is 371013.

It is a perfect power (a square), and thus also a powerful number.

137650646169 is a `hidden beast` number, since 1 + 3 + 76 + 50 + 6 + 461 + 69 = 666.

It is not a de Polignac number, because 137650646169 - 21 = 137650646167 is a prime.

It is a super-2 number, since 2×1376506461692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137650646167) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 486397902 + ... + 486398184.

Almost surely, 2137650646169 is an apocalyptic number.

137650646169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

137650646169 is the 371013-rd square number.

137650646169 is the 185507-th centered octagonal number.

It is an amenable number.

137650646169 is a deficient number, since it is larger than the sum of its proper divisors (82491724188).

137650646169 is an equidigital number, since it uses as much as digits as its factorization.

137650646169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 137650646169 in words is "one hundred thirty-seven billion, six hundred fifty million, six hundred forty-six thousand, one hundred sixty-nine".

Divisors: 1 3 9 19 23 57 69 171 207 283 361 437 529 849 1083 1311 1587 2547 3249 3933 4761 5377 6509 8303 10051 16131 19527 24909 30153 48393 58581 74727 80089 90459 102163 123671 149707 190969 240267 306489 371013 449121 572907 720801 919467 1113039 1347363 1521691 1718721 1842047 2349749 2844433 4565073 5526141 7049247 8533299 13695219 16578423 21147741 25599897 28912129 34998893 42367081 54044227 86736387 104996679 127101243 162132681 260209161 314990037 381303729 486398043 664978967 804974539 1994936901 2414923617 5984810703 7244770851 15294516241 45883548723 137650646169