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58230201280 = 26571103149167
BaseRepresentation
bin110110001110110010…
…100101101111000000
312120022011101201022111
4312032302211233000
51423223412420110
642430043145104
74130666354446
oct661662455700
9176264351274
1058230201280
1122771481099
12b351215194
13564cbb2904
142b657dcb96
1517ac1b2e8a
hexd8eca5bc0

58230201280 has 224 divisors, whose sum is σ = 143787571200. Its totient is φ = 22453186560.

The previous prime is 58230201247. The next prime is 58230201287. The reversal of 58230201280 is 8210203285.

58230201280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×582302012803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58230201287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348683757 + ... + 348683923.

It is an arithmetic number, because the mean of its divisors is an integer number (641908800).

Almost surely, 258230201280 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 58230201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71893785600).

58230201280 is an abundant number, since it is smaller than the sum of its proper divisors (85557369920).

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

58230201280 is a wasteful number, since it uses less digits than its factorization.

58230201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 58230201280 in words is "fifty-eight billion, two hundred thirty million, two hundred one thousand, two hundred eighty".