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188880191470161 = 3415270412
BaseRepresentation
bin101010111100100100011000…
…101101111011101001010001
3220202202202210022002110110000
4222330210120231323221101
5144224103113004021121
61505414210113200213
754533100136325622
oct5274443055735121
9822682708073400
10188880191470161
1155201703a96724
12192262b5b60069
13815143053c429
14348dbc8747a49
1516c8319651526
hexabc918b7ba51

188880191470161 has 15 divisors (see below), whose sum is σ = 282154544869483. Its totient is φ = 125920045186560.

The previous prime is 188880191470141. The next prime is 188880191470181. The reversal of 188880191470161 is 161074191088881.

The square root of 188880191470161 is 13743369.

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

188880191470161 is a `hidden beast` number, since 1 + 8 + 88 + 80 + 1 + 9 + 1 + 470 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (188880191470141) and next prime (188880191470181).

It can be written as a sum of positive squares in only one way, i.e., 78786376116561 + 110093815353600 = 8876169^2 + 10492560^2 .

It is not a de Polignac number, because 188880191470161 - 221 = 188880189373009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188880191470111) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 122926801 + ... + 124453841.

Almost surely, 2188880191470161 is an apocalyptic number.

188880191470161 is the 13743369-th square number.

188880191470161 is the 6871685-th centered octagonal number.

It is an amenable number.

188880191470161 is a deficient number, since it is larger than the sum of its proper divisors (93274353399322).

188880191470161 is an frugal number, since it uses more digits than its factorization.

188880191470161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054094 (or 1527044 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 63.

The spelling of 188880191470161 in words is "one hundred eighty-eight trillion, eight hundred eighty billion, one hundred ninety-one million, four hundred seventy thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 1527041 4581123 13743369 41230107 123690321 2331854215681 6995562647043 20986687941129 62960063823387 188880191470161