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27971371431 = 324105175709
BaseRepresentation
bin11010000011001110…
…010100000110100111
32200012101001220010200
4122003032110012213
5424241132341211
620503323321543
72010104506563
oct320316240647
980171056120
1027971371431
11109541233a3
1255076802b3
13283a006073
1414d4c5a6a3
15ada9adb56
hex6833941a7

27971371431 has 12 divisors (see below), whose sum is σ = 40404609960. Its totient is φ = 18646880400.

The previous prime is 27971371361. The next prime is 27971371433. The reversal of 27971371431 is 13417317972.

27971371431 is a `hidden beast` number, since 279 + 7 + 1 + 371 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 27971371431 - 215 = 27971338663 is a prime.

It is a super-2 number, since 2×279713714312 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27971371433) 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, 331605 + ... + 407313.

It is an arithmetic number, because the mean of its divisors is an integer number (3367050830).

Almost surely, 227971371431 is an apocalyptic number.

27971371431 is a deficient number, since it is larger than the sum of its proper divisors (12433238529).

27971371431 is a wasteful number, since it uses less digits than its factorization.

27971371431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116766 (or 116763 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The spelling of 27971371431 in words is "twenty-seven billion, nine hundred seventy-one million, three hundred seventy-one thousand, four hundred thirty-one".

Divisors: 1 3 9 41051 75709 123153 227127 369459 681381 3107930159 9323790477 27971371431