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167148413530921 = 11532112132
BaseRepresentation
bin100110000000010101000101…
…110100000011001100101001
3210220211020021022220120001201
4212000111011310003030221
5133402024422330442141
61351254530543444201
750131034335556164
oct4600250564031451
9726736238816051
10167148413530921
1149293275984aa9
12168b65955b6661
137236048cc31b4
142d3c052560adb
15144cda9226031
hex980545d03329

167148413530921 has 9 divisors (see below), whose sum is σ = 167308428464229. Its totient is φ = 166988551527936.

The previous prime is 167148413530907. The next prime is 167148413530937. The reversal of 167148413530921 is 129035314841761.

It is a happy number.

The square root of 167148413530921 is 12928589.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12325639402521 + 154822774128400 = 3510789^2 + 12442780^2 .

It is not a de Polignac number, because 167148413530921 - 219 = 167148413006633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167148413530991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14906657511 + ... + 14906668723.

It is a 1-persistent number, because it is pandigital, but 2⋅167148413530921 = 334296827061842 is not.

Almost surely, 2167148413530921 is an apocalyptic number.

167148413530921 is the 12928589-th square number.

167148413530921 is the 6464295-th centered octagonal number.

It is an amenable number.

167148413530921 is a deficient number, since it is larger than the sum of its proper divisors (160014933308).

167148413530921 is an frugal number, since it uses more digits than its factorization.

167148413530921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24732 (or 12366 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 167148413530921 in words is "one hundred sixty-seven trillion, one hundred forty-eight billion, four hundred thirteen million, five hundred thirty thousand, nine hundred twenty-one".

Divisors: 1 1153 11213 1329409 12928589 125731369 14906663117 144968268457 167148413530921