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167180426249929 = 53446032
BaseRepresentation
bin100110000000110010111001…
…111010111000011011001001
3210220221021220100111011212021
4212000302321322320123021
5133403041003104444204
61351321343315244441
750133246545312401
oct4600627172703311
9726837810434767
10167180426249929
11492a5903262674
121690082a5a9721
13723907b366991
142d3d80c015801
15144db2e8c6154
hex980cb9eb86c9

167180426249929 has 15 divisors (see below), whose sum is σ = 170432460425073. Its totient is φ = 163990443981624.

The previous prime is 167180426249923. The next prime is 167180426249981. The reversal of 167180426249929 is 929942624081761.

The square root of 167180426249929 is 12929827.

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

It can be written as a sum of positive squares in 2 ways, for example, as 32630634056329 + 134549792193600 = 5712323^2 + 11599560^2 .

It is not a de Polignac number, because 167180426249929 - 27 = 167180426249801 is a prime.

It is a super-2 number, since 2×1671804262499292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167180426249923) 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 14 ways as a sum of consecutive naturals, for example, 36319881742 + ... + 36319886344.

Almost surely, 2167180426249929 is an apocalyptic number.

167180426249929 is the 12929827-th square number.

167180426249929 is the 6464914-th centered octagonal number.

It is an amenable number.

167180426249929 is a deficient number, since it is larger than the sum of its proper divisors (3252034175144).

167180426249929 is an frugal number, since it uses more digits than its factorization.

167180426249929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 70.

The spelling of 167180426249929 in words is "one hundred sixty-seven trillion, one hundred eighty billion, four hundred twenty-six million, two hundred forty-nine thousand, nine hundred twenty-nine".

Divisors: 1 53 2809 4603 148877 243959 7890481 12929827 21187609 685280831 1122943277 36319884043 59515993681 3154347665093 167180426249929