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27430127431 = 7389898553
BaseRepresentation
bin11001100010111101…
…101000011101000111
32121210122121211221121
4121202331220131013
5422134103034211
620333510454411
71660513144000
oct314275503507
977718554847
1027430127431
11106a6656803
125396364407
132781b40145
14148300a1a7
15aa81ea271
hex662f68747

27430127431 has 16 divisors (see below), whose sum is σ = 32347944000. Its totient is φ = 23247337344.

The previous prime is 27430127401. The next prime is 27430127449. The reversal of 27430127431 is 13472103472.

It is not a de Polignac number, because 27430127431 - 229 = 26893256519 is a prime.

It is a super-2 number, since 2×274301274312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27430127401) 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 15 ways as a sum of consecutive naturals, for example, 418750 + ... + 479803.

It is an arithmetic number, because the mean of its divisors is an integer number (2021746500).

Almost surely, 227430127431 is an apocalyptic number.

27430127431 is a deficient number, since it is larger than the sum of its proper divisors (4917816569).

27430127431 is an frugal number, since it uses more digits than its factorization.

27430127431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898663 (or 898649 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 27430127431 in words is "twenty-seven billion, four hundred thirty million, one hundred twenty-seven thousand, four hundred thirty-one".

Divisors: 1 7 49 89 343 623 4361 30527 898553 6289871 44029097 79971217 308203679 559798519 3918589633 27430127431