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58131205002 = 23213793144607
BaseRepresentation
bin110110001000111000…
…111100101110001010
312120001021010011221200
4312020320330232022
51423023042030002
642412145245030
74125355042533
oct661070745612
9176037104850
1058131205002
1122720605792
12b324033776
135635530c30
142b565cd68a
1517a365ab1c
hexd88e3cb8a

58131205002 has 48 divisors (see below), whose sum is σ = 137356477440. Its totient is φ = 17660107296.

The previous prime is 58131204997. The next prime is 58131205007. The reversal of 58131205002 is 20050213185.

It is a happy number.

58131205002 is a `hidden beast` number, since 5 + 8 + 131 + 20 + 500 + 2 = 666.

58131205002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58131204997) and next prime (58131205007).

It is not an unprimeable number, because it can be changed into a prime (58131205007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553818 + ... + 1590789.

It is an arithmetic number, because the mean of its divisors is an integer number (2861593280).

Almost surely, 258131205002 is an apocalyptic number.

58131205002 is an abundant number, since it is smaller than the sum of its proper divisors (79225272438).

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

58131205002 is a wasteful number, since it uses less digits than its factorization.

58131205002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144707 (or 3144704 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 58131205002 its reverse (20050213185), we get a palindrome (78181418187).

The spelling of 58131205002 in words is "fifty-eight billion, one hundred thirty-one million, two hundred five thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 9243 18486 3144607 6289214 9433821 18867642 28301463 40879891 56602926 81759782 122639673 245279346 248423953 367919019 496847906 735838038 745271859 1490543718 2235815577 3229511389 4471631154 6459022778 9688534167 19377068334 29065602501 58131205002