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12456901344789 = 3211125827286311
BaseRepresentation
bin1011010101000101100100…
…1011011111111000010101
31122002212102212120021200200
42311101121023133320111
53113043213221013124
642254342123331113
72423660425244016
oct265213113377025
948085385507620
1012456901344789
113a72a40070790
121492293080a99
136c48b08111c5
14310cbacab00d
15169074edbbc9
hexb54592dfe15

12456901344789 has 12 divisors (see below), whose sum is σ = 19629056664672. Its totient is φ = 7549637178600.

The previous prime is 12456901344733. The next prime is 12456901344809. The reversal of 12456901344789 is 98744310965421.

12456901344789 is a `hidden beast` number, since 1 + 2 + 45 + 6 + 90 + 1 + 34 + 478 + 9 = 666.

It is not a de Polignac number, because 12456901344789 - 217 = 12456901213717 is a prime.

It is a super-2 number, since 2×124569013447892 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456901344889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62913643057 + ... + 62913643254.

It is an arithmetic number, because the mean of its divisors is an integer number (1635754722056).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12456901344789 = 24913802689578, but 3⋅12456901344789 = 37370704034367 is not.

Almost surely, 212456901344789 is an apocalyptic number.

It is an amenable number.

12456901344789 is a deficient number, since it is larger than the sum of its proper divisors (7172155319883).

12456901344789 is a wasteful number, since it uses less digits than its factorization.

12456901344789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125827286328 (or 125827286325 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 12456901344789 in words is "twelve trillion, four hundred fifty-six billion, nine hundred one million, three hundred forty-four thousand, seven hundred eighty-nine".

Divisors: 1 3 9 11 33 99 125827286311 377481858933 1132445576799 1384100149421 4152300448263 12456901344789