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104541735727 = 11213131507329
BaseRepresentation
bin110000101011100101…
…1000100101100101111
3100222211200201102102001
41201113023010230233
53203100141020402
6120005324113131
710360433043352
oct1412713045457
9328750642361
10104541735727
11403770a2400
12183169957a7
139b20739b30
1450ba312299
152abcd1e187
hex18572c4b2f

104541735727 has 24 divisors (see below), whose sum is σ = 124693596720. Its totient is φ = 87057484800.

The previous prime is 104541735713. The next prime is 104541735811. The reversal of 104541735727 is 727537145401.

It is not a de Polignac number, because 104541735727 - 223 = 104533347119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104541735707) 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 23 ways as a sum of consecutive naturals, for example, 47602 + ... + 459727.

It is an arithmetic number, because the mean of its divisors is an integer number (5195566530).

Almost surely, 2104541735727 is an apocalyptic number.

104541735727 is a deficient number, since it is larger than the sum of its proper divisors (20151860993).

104541735727 is a wasteful number, since it uses less digits than its factorization.

104541735727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507495 (or 507484 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 46.

The spelling of 104541735727 in words is "one hundred four billion, five hundred forty-one million, seven hundred thirty-five thousand, seven hundred twenty-seven".

Divisors: 1 11 13 121 131 143 1441 1573 1703 15851 18733 206063 507329 5580619 6595277 61386809 66460099 72548047 731061089 798028517 863981287 8041671979 9503794157 104541735727