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58173471972 = 22357113125073
BaseRepresentation
bin110110001011011010…
…001011110011100100
312120011012122120100000
4312023122023303210
51423114402100342
642420255221300
74126410232050
oct661332136344
9176135576300
1058173471972
1122742454570
12b336217830
13564120c585
142b5c072c60
1517a720944c
hexd8b68bce4

58173471972 has 288 divisors, whose sum is σ = 196265631744. Its totient is φ = 14621990400.

The previous prime is 58173471953. The next prime is 58173471973. The reversal of 58173471972 is 27917437185.

58173471972 is a `hidden beast` number, since 5 + 81 + 7 + 3 + 471 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (58173471973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2307628 + ... + 2332700.

It is an arithmetic number, because the mean of its divisors is an integer number (681477888).

Almost surely, 258173471972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58173471972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98132815872).

58173471972 is an abundant number, since it is smaller than the sum of its proper divisors (138092159772).

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

58173471972 is a wasteful number, since it uses less digits than its factorization.

58173471972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25141 (or 25127 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 58173471972 in words is "fifty-eight billion, one hundred seventy-three million, four hundred seventy-one thousand, nine hundred seventy-two".