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180104325769 = 59271932
BaseRepresentation
bin1010011110111100001…
…1011110101010001001
3122012212210001201022001
42213233003132222021
510422323201411034
6214423324431001
716004103336604
oct2475703365211
9565783051261
10180104325769
116a422218725
122aaa46a8461
1313ca3440c84
148a079d533b
154a41964a14
hex29ef0dea89

180104325769 has 9 divisors (see below), whose sum is σ = 183234154663. Its totient is φ = 177027095632.

The previous prime is 180104325767. The next prime is 180104325781. The reversal of 180104325769 is 967523401081.

The square root of 180104325769 is 424387.

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

It can be written as a sum of positive squares in only one way, i.e., 11091249225 + 169013076544 = 105315^2 + 411112^2 .

It is not a de Polignac number, because 180104325769 - 21 = 180104325767 is a prime.

It is a super-2 number, since 2×1801043257692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180104325767) 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, 25035237 + ... + 25042429.

It is a 1-persistent number, because it is pandigital, but 2⋅180104325769 = 360208651538 is not.

Almost surely, 2180104325769 is an apocalyptic number.

180104325769 is the 424387-th square number.

180104325769 is the 212194-th centered octagonal number.

It is an amenable number.

180104325769 is a deficient number, since it is larger than the sum of its proper divisors (3129828894).

180104325769 is an frugal number, since it uses more digits than its factorization.

180104325769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14504 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 180104325769 in words is "one hundred eighty billion, one hundred four million, three hundred twenty-five thousand, seven hundred sixty-nine".

Divisors: 1 59 3481 7193 424387 25038833 51739249 3052615691 180104325769