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58289122431 = 32192921295521
BaseRepresentation
bin110110010010010011…
…010110110001111111
312120110021021012221100
4312102103112301333
51423334003404211
642435550104143
74132313236311
oct662223266177
9176407235840
1058289122431
11227a1765461
12b368aab053
13565c1727b7
142b6d5797b1
1517b2451156
hexd924d6c7f

58289122431 has 48 divisors (see below), whose sum is σ = 91742508000. Its totient is φ = 35521597440.

The previous prime is 58289122427. The next prime is 58289122477. The reversal of 58289122431 is 13422198285.

58289122431 is a `hidden beast` number, since 582 + 8 + 9 + 1 + 22 + 43 + 1 = 666.

It is not a de Polignac number, because 58289122431 - 22 = 58289122427 is a prime.

It is a super-2 number, since 2×582891224312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58289122231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10554951 + ... + 10560471.

It is an arithmetic number, because the mean of its divisors is an integer number (1911302250).

Almost surely, 258289122431 is an apocalyptic number.

58289122431 is a deficient number, since it is larger than the sum of its proper divisors (33453385569).

58289122431 is a wasteful number, since it uses less digits than its factorization.

58289122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704 (or 7701 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 58289122431 in words is "fifty-eight billion, two hundred eighty-nine million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 19 29 57 87 171 261 551 1653 2129 4959 5521 6387 16563 19161 40451 49689 61741 104899 121353 160109 185223 314697 364059 480327 555669 944091 1173079 1440981 3042071 3519237 9126213 10557711 11754209 27378639 35262627 105787881 223329971 340872061 669989913 1022616183 2009969739 3067848549 6476569159 19429707477 58289122431