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180811813 = 72131759283
BaseRepresentation
bin10101100011011…
…11100000100101
3110121020012011211
422301233200211
5332241434223
625535231421
74323606100
oct1261574045
9417205154
10180811813
1193077656
1250678571
132b5c9550
141a029737
1510d18d0d
hexac6f825

180811813 has 48 divisors (see below), whose sum is σ = 244762560. Its totient is φ = 131894784.

The previous prime is 180811801. The next prime is 180811819. The reversal of 180811813 is 318118081.

180811813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-180811813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180811819) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638770 + ... + 639052.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2180811813 is an apocalyptic number.

180811813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

180811813 is a deficient number, since it is larger than the sum of its proper divisors (63950747).

180811813 is a wasteful number, since it uses less digits than its factorization.

180811813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 31.

The square root of 180811813 is about 13446.6283134472. The cubic root of 180811813 is about 565.4691725152.

Adding to 180811813 its reverse (318118081), we get a palindrome (498929894).

The spelling of 180811813 in words is "one hundred eighty million, eight hundred eleven thousand, eight hundred thirteen".

Divisors: 1 7 13 17 49 59 91 119 221 283 413 637 767 833 1003 1547 1981 2891 3679 4811 5369 7021 10829 13039 13867 16697 25753 33677 37583 49147 62543 91273 116879 180271 217061 235739 283849 437801 638911 818153 1519427 1986943 3064607 3690037 10635989 13908601 25830259 180811813