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58255145676 = 223372132531229
BaseRepresentation
bin110110010000010001…
…101111101011001100
312120100220100000121000
4312100101233223030
51423301304130201
642432333540300
74131421365600
oct662021575314
9176326300530
1058255145676
11227845691a2
12b359644690
135655107700
142b68c53500
1517ae48dd86
hexd9046facc

58255145676 has 432 divisors, whose sum is σ = 193991565600. Its totient is φ = 15061842432.

The previous prime is 58255145563. The next prime is 58255145693. The reversal of 58255145676 is 67654155285.

58255145676 is a `hidden beast` number, since 5 + 8 + 2 + 5 + 514 + 56 + 76 = 666.

58255145676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47399830 + ... + 47401058.

It is an arithmetic number, because the mean of its divisors is an integer number (449054550).

Almost surely, 258255145676 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 58255145676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96995782800).

58255145676 is an abundant number, since it is smaller than the sum of its proper divisors (135736419924).

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

58255145676 is a wasteful number, since it uses less digits than its factorization.

58255145676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1307 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 58255145676 in words is "fifty-eight billion, two hundred fifty-five million, one hundred forty-five thousand, six hundred seventy-six".