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27142448346 = 23213115993369
BaseRepresentation
bin11001010001110100…
…001110010011011010
32121001121022020102200
4121101310032103122
5421041431321341
620245152511030
71650421001316
oct312164162332
977047266380
1027142448346
11105692281a2
125315b4b476
132737367430
141456b22b46
15a8cd21db6
hex651d0e4da

27142448346 has 24 divisors (see below), whose sum is σ = 63332380020. Its totient is φ = 8351522496.

The previous prime is 27142448341. The next prime is 27142448363. The reversal of 27142448346 is 64384424172.

27142448346 is a `hidden beast` number, since 27 + 142 + 4 + 483 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19596920121 + 7545528225 = 139989^2 + 86865^2 .

It is not an unprimeable number, because it can be changed into a prime (27142448341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57996451 + ... + 57996918.

Almost surely, 227142448346 is an apocalyptic number.

27142448346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27142448346 is an abundant number, since it is smaller than the sum of its proper divisors (36189931674).

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

27142448346 is a wasteful number, since it uses less digits than its factorization.

27142448346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115993390 (or 115993387 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 27142448346 in words is "twenty-seven billion, one hundred forty-two million, four hundred forty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 115993369 231986738 347980107 695960214 1043940321 1507913797 2087880642 3015827594 4523741391 9047482782 13571224173 27142448346