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58834009080 = 233257112192949
BaseRepresentation
bin110110110010110001…
…111011101111111000
312121212020120022220100
4312302301323233320
51430443001242310
643010012555400
74151650553160
oct666261735770
9177766508810
1058834009080
1122a5129a900
12b49b482b60
135718012732
142bc1a975a0
1517e51d3ec0
hexdb2c7bbf8

58834009080 has 288 divisors, whose sum is σ = 240199596000. Its totient is φ = 12225185280.

The previous prime is 58834009043. The next prime is 58834009099. The reversal of 58834009080 is 8090043885.

58834009080 is a `hidden beast` number, since 5 + 8 + 83 + 400 + 90 + 80 = 666.

It is a super-2 number, since 2×588340090802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208446 + ... + 401394.

It is an arithmetic number, because the mean of its divisors is an integer number (834026375).

Almost surely, 258834009080 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 58834009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120099798000).

58834009080 is an abundant number, since it is smaller than the sum of its proper divisors (181365586920).

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

58834009080 is a wasteful number, since it uses less digits than its factorization.

58834009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192995 (or 192977 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 58834009080 in words is "fifty-eight billion, eight hundred thirty-four million, nine thousand, eighty".