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18692631841 = 1348092
BaseRepresentation
bin10001011010001010…
…101110110100100001
31210020201111002021211
4101122022232310201
5301240303204331
612330503550121
71231135514632
oct213212566441
953221432254
1018692631841
117a22559a74
12375815b341
1319bb890000
14c94807889
157460c28b1
hex45a2aed21

18692631841 has 15 divisors (see below), whose sum is σ = 20275358831. Its totient is φ = 17233408608.

The previous prime is 18692631833. The next prime is 18692631901. The reversal of 18692631841 is 14813629681.

It is a happy number.

The square root of 18692631841 is 136721.

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

It can be written as a sum of positive squares in 7 ways, for example, as 15356414241 + 3336217600 = 123921^2 + 57760^2 .

It is not a de Polignac number, because 18692631841 - 23 = 18692631833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18692631821) 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, 23105445 + ... + 23106253.

Almost surely, 218692631841 is an apocalyptic number.

18692631841 is the 136721-st square number.

18692631841 is the 68361-st centered octagonal number.

It is an amenable number.

18692631841 is a deficient number, since it is larger than the sum of its proper divisors (1582726990).

18692631841 is an frugal number, since it uses more digits than its factorization.

18692631841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 822 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 18692631841 by its sum of digits (49), we get a square (915938960209 = 9570472).

The spelling of 18692631841 in words is "eighteen billion, six hundred ninety-two million, six hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 13 169 809 2197 10517 28561 136721 654481 1777373 8508253 23105849 110607289 1437894757 18692631841