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58143957120 = 2732531325627
BaseRepresentation
bin110110001001101001…
…100110000010000000
312120002011010001120100
4312021221212002000
51423034323111440
642413322442400
74125601323654
oct661151460200
9176064101510
1058143957120
1122727825627
12b328363400
135638077372
142b5818ca64
1517a4829230
hexd89a66080

58143957120 has 192 divisors, whose sum is σ = 207255709440. Its totient is φ = 15004846080.

The previous prime is 58143957119. The next prime is 58143957127. The reversal of 58143957120 is 2175934185.

58143957120 is a `hidden beast` number, since 58 + 1 + 4 + 3 + 9 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58143957127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15747 + ... + 341373.

It is an arithmetic number, because the mean of its divisors is an integer number (1079456820).

Almost surely, 258143957120 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 58143957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103627854720).

58143957120 is an abundant number, since it is smaller than the sum of its proper divisors (149111752320).

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

58143957120 is a wasteful number, since it uses less digits than its factorization.

58143957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325683 (or 325668 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 58143957120 in words is "fifty-eight billion, one hundred forty-three million, nine hundred fifty-seven thousand, one hundred twenty".