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58938416433 = 3213503747149
BaseRepresentation
bin110110111001000000…
…001101110100110001
312122010112000202212100
4312321000031310301
51431201213311213
643024222451013
74154356162611
oct667100156461
9178115022770
1058938416433
1122aa5221676
12b50a433a69
13573383a330
142bd18b4a41
1517ee459773
hexdb900dd31

58938416433 has 12 divisors (see below), whose sum is σ = 91681981300. Its totient is φ = 36269794656.

The previous prime is 58938416431. The next prime is 58938416437. The reversal of 58938416433 is 33461483985.

58938416433 is a `hidden beast` number, since 589 + 3 + 8 + 4 + 16 + 43 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29224586304 + 29713830129 = 170952^2 + 172377^2 .

It is not a de Polignac number, because 58938416433 - 21 = 58938416431 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 58938416433.

It is not an unprimeable number, because it can be changed into a prime (58938416431) 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 11 ways as a sum of consecutive naturals, for example, 251873458 + ... + 251873691.

Almost surely, 258938416433 is an apocalyptic number.

It is an amenable number.

58938416433 is a deficient number, since it is larger than the sum of its proper divisors (32743564867).

58938416433 is a wasteful number, since it uses less digits than its factorization.

58938416433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503747168 (or 503747165 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 58938416433 in words is "fifty-eight billion, nine hundred thirty-eight million, four hundred sixteen thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 503747149 1511241447 4533724341 6548712937 19646138811 58938416433