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181764942921 = 3412723732
BaseRepresentation
bin1010100101001000001…
…0001110110001001001
3122101011111210210210000
42221102002032301021
510434223311133141
6215300205313213
716063206344202
oct2512202166111
9571144723700
10181764942921
11700a46319a1
122b288865809
13141a94ab883
148b243885a9
154adc6395b6
hex2a5208ec49

181764942921 has 45 divisors (see below), whose sum is σ = 274415932791. Its totient is φ = 119900169648.

The previous prime is 181764942913. The next prime is 181764942923. The reversal of 181764942921 is 129249467181.

The square root of 181764942921 is 426339.

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

181764942921 is a `hidden beast` number, since 1 + 8 + 176 + 49 + 429 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98800205625 + 82964737296 = 314325^2 + 288036^2 .

It is not a de Polignac number, because 181764942921 - 23 = 181764942913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (181764942923) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 487305291 + ... + 487305663.

Almost surely, 2181764942921 is an apocalyptic number.

181764942921 is the 426339-th square number.

181764942921 is the 213170-th centered octagonal number.

It is an amenable number.

181764942921 is a deficient number, since it is larger than the sum of its proper divisors (92650989870).

181764942921 is an frugal number, since it uses more digits than its factorization.

181764942921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 503 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 181764942921 in words is "one hundred eighty-one billion, seven hundred sixty-four million, nine hundred forty-two thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 127 373 381 1119 1143 3357 3429 10071 10287 16129 30213 47371 48387 139129 142113 145161 417387 426339 435483 1252161 1279017 1306449 3756483 3837051 6016117 11269449 17669383 18048351 53008149 54145053 159024447 162435159 477073341 487305477 1431220023 2244011641 6732034923 20196104769 60588314307 181764942921