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189205405467 = 31341811145903
BaseRepresentation
bin1011000000110110000…
…1010101111100011011
3200002101001100110120220
42300031201111330123
511044443040433332
6222530400251123
716445454260631
oct2601541257433
9602331313526
10189205405467
11732725785a1
1230804610aa3
1314ac3b22330
14922c5dd351
154dc595ad2c
hex2c0d855f1b

189205405467 has 32 divisors (see below), whose sum is σ = 278650960896. Its totient is φ = 113453395200.

The previous prime is 189205405463. The next prime is 189205405523. The reversal of 189205405467 is 764504502981.

189205405467 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 189205405467 - 22 = 189205405463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (189205405463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223838 + ... + 1369740.

It is an arithmetic number, because the mean of its divisors is an integer number (8707842528).

Almost surely, 2189205405467 is an apocalyptic number.

189205405467 is a deficient number, since it is larger than the sum of its proper divisors (89445555429).

189205405467 is a wasteful number, since it uses less digits than its factorization.

189205405467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146771.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 189205405467 in words is "one hundred eighty-nine billion, two hundred five million, four hundred five thousand, four hundred sixty-seven".

Divisors: 1 3 13 39 41 123 533 811 1599 2433 10543 31629 33251 99753 145903 432263 437709 1296789 1896739 5690217 5982023 17946069 77766299 118327333 233298897 354981999 1538255329 4614765987 4851420653 14554261959 63068468489 189205405467