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58325005008 = 2432405034757
BaseRepresentation
bin110110010100011100…
…001111001011010000
312120112202210020120200
4312110130033023100
51423422200130013
642443311135200
74133230235244
oct662434171320
9176482706520
1058325005008
112280aa43586
12b378b14500
1356667271aa
142b7423a424
1517b568ce73
hexd9470f2d0

58325005008 has 30 divisors (see below), whose sum is σ = 163229007474. Its totient is φ = 19441668288.

The previous prime is 58325005007. The next prime is 58325005027. The reversal of 58325005008 is 80050052385.

58325005008 is a `hidden beast` number, since 583 + 25 + 0 + 0 + 50 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31686848064 + 26638156944 = 178008^2 + 163212^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58325005007) 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 5 ways as a sum of consecutive naturals, for example, 202517235 + ... + 202517522.

Almost surely, 258325005008 is an apocalyptic number.

It is an amenable number.

58325005008 is an abundant number, since it is smaller than the sum of its proper divisors (104904002466).

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

58325005008 is a wasteful number, since it uses less digits than its factorization.

58325005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405034771 (or 405034762 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 58325005008 in words is "fifty-eight billion, three hundred twenty-five million, five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 405034757 810069514 1215104271 1620139028 2430208542 3240278056 3645312813 4860417084 6480556112 7290625626 9720834168 14581251252 19441668336 29162502504 58325005008