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161976529 = 112132892
BaseRepresentation
bin10011010011110…
…01000011010001
3102021210021000201
421221321003101
5312431222104
624023415201
74004530531
oct1151710321
9367707021
10161976529
1183482400
12462b4501
1327733300
14177254c1
15e3480a4
hex9a790d1

161976529 has 27 divisors (see below), whose sum is σ = 194979729. Its totient is φ = 134397120.

The previous prime is 161976497. The next prime is 161976547. The reversal of 161976529 is 925679161.

The square root of 161976529 is 12727.

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 70812225 + 91164304 = 8415^2 + 9548^2 .

It is not a de Polignac number, because 161976529 - 25 = 161976497 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161976569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1819917 + ... + 1820005.

Almost surely, 2161976529 is an apocalyptic number.

161976529 is the 12727-th square number.

161976529 is the 6364-th centered octagonal number.

It is an amenable number.

161976529 is a deficient number, since it is larger than the sum of its proper divisors (33003200).

161976529 is an equidigital number, since it uses as much as digits as its factorization.

161976529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its digits is 204120, while the sum is 46.

The cubic root of 161976529 is about 545.1098496414.

The spelling of 161976529 in words is "one hundred sixty-one million, nine hundred seventy-six thousand, five hundred twenty-nine".

Divisors: 1 11 13 89 121 143 169 979 1157 1573 1859 7921 10769 12727 15041 20449 87131 102973 139997 165451 958441 1132703 1338649 1819961 12459733 14725139 161976529