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58242720042 = 232131913100027
BaseRepresentation
bin110110001111100010…
…010110000100101010
312120100000221201211100
4312033202112010222
51423240114020132
642431211342230
74131210644343
oct661742260452
9176300851740
1058242720042
1122778551681
12b355451976
135652676a70
142b6733b0ca
1517ad33737c
hexd8f89612a

58242720042 has 48 divisors (see below), whose sum is σ = 143052305760. Its totient is φ = 16977633696.

The previous prime is 58242720007. The next prime is 58242720049. The reversal of 58242720042 is 24002724285.

58242720042 is a `hidden beast` number, since 582 + 4 + 2 + 72 + 0 + 0 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58242719979 and 58242720006.

It is not an unprimeable number, because it can be changed into a prime (58242720049) 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 23 ways as a sum of consecutive naturals, for example, 6545568 + ... + 6554459.

It is an arithmetic number, because the mean of its divisors is an integer number (2980256370).

Almost surely, 258242720042 is an apocalyptic number.

58242720042 is an abundant number, since it is smaller than the sum of its proper divisors (84809585718).

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

58242720042 is a wasteful number, since it uses less digits than its factorization.

58242720042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100067 (or 13100064 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 58242720042 in words is "fifty-eight billion, two hundred forty-two million, seven hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 13100027 26200054 39300081 78600162 117900243 170300351 235800486 248900513 340600702 497801026 510901053 746701539 1021802106 1493403078 1532703159 2240104617 3065406318 3235706669 4480209234 6471413338 9707120007 19414240014 29121360021 58242720042