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166292272137 = 31767971034871
BaseRepresentation
bin1001101011011111001…
…0101011010000001001
3120220020012020200200010
42122313302223100021
510211031310202022
6204221004302133
715004606663635
oct2326762532011
9526205220603
10166292272137
116458471a372
122828ab41949
13128b1a58b84
148097483dc5
1544d40a950c
hex26b7cab409

166292272137 has 64 divisors (see below), whose sum is σ = 243112955904. Its totient is φ = 100715028480.

The previous prime is 166292272123. The next prime is 166292272141. The reversal of 166292272137 is 731272292661.

166292272137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166292272137 - 215 = 166292239369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166292272177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34136812 + ... + 34141682.

It is an arithmetic number, because the mean of its divisors is an integer number (3798639936).

Almost surely, 2166292272137 is an apocalyptic number.

166292272137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

166292272137 is a deficient number, since it is larger than the sum of its proper divisors (76820683767).

166292272137 is a wasteful number, since it uses less digits than its factorization.

166292272137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158.

The product of its digits is 762048, while the sum is 48.

The spelling of 166292272137 in words is "one hundred sixty-six billion, two hundred ninety-two million, two hundred seventy-two thousand, one hundred thirty-seven".

Divisors: 1 3 17 51 67 97 103 201 291 309 1139 1649 1751 3417 4871 4947 5253 6499 6901 9991 14613 19497 20703 29973 82807 110483 117317 169847 248421 326357 331449 351951 472487 501713 509541 669397 979071 1417461 1505139 2008191 5548069 8032279 8529121 11379749 16644207 24096837 25587363 31656629 33614771 34139247 48666161 94969887 100844313 145998483 538162693 571451107 827324737 1614488079 1714353321 2481974211 3260632787 9781898361 55430757379 166292272137