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181546440138 = 23278916189267
BaseRepresentation
bin1010100100010100000…
…0101101010111001010
3122100121021122201022100
42221011000231113022
510433301342041023
6215222402134230
716054614164640
oct2510500552712
9570537581270
10181546440138
116aaa2261588
122b227651376
131417314679b
148b0334b190
154ac8377c43
hex2a4502d5ca

181546440138 has 48 divisors (see below), whose sum is σ = 454594645440. Its totient is φ = 51287594688.

The previous prime is 181546440133. The next prime is 181546440151. The reversal of 181546440138 is 831044645181.

181546440138 is a `hidden beast` number, since 1 + 8 + 15 + 464 + 40 + 138 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 181546440093 and 181546440102.

It is not an unprimeable number, because it can be changed into a prime (181546440133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8083420 + ... + 8105847.

It is an arithmetic number, because the mean of its divisors is an integer number (9470721780).

Almost surely, 2181546440138 is an apocalyptic number.

181546440138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

181546440138 is an abundant number, since it is smaller than the sum of its proper divisors (273048205302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181546440138 is a wasteful number, since it uses less digits than its factorization.

181546440138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16189371 (or 16189368 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 181546440138 in words is "one hundred eighty-one billion, five hundred forty-six million, four hundred forty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1602 1869 3738 5607 11214 16189267 32378534 48567801 97135602 113324869 145703403 226649738 291406806 339974607 679949214 1019923821 1440844763 2039847642 2881689526 4322534289 8645068578 10085913341 12967602867 20171826682 25935205734 30257740023 60515480046 90773220069 181546440138