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58113412448 = 25713314713697
BaseRepresentation
bin110110000111110101…
…000100110101100000
312120000000122020011012
4312013311010311200
51423004013144243
642410312040052
74125050566310
oct660765046540
9176000566135
1058113412448
11227115629a3
12b31a093028
1356319414b0
142b540bb440
1517a1ce3d18
hexd87d44d60

58113412448 has 192 divisors, whose sum is σ = 148459143168. Its totient is φ = 21773352960.

The previous prime is 58113412411. The next prime is 58113412451. The reversal of 58113412448 is 84421431185.

It is a super-2 number, since 2×581134124482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4235936 + ... + 4249632.

It is an arithmetic number, because the mean of its divisors is an integer number (773224704).

Almost surely, 258113412448 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 58113412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74229571584).

58113412448 is an abundant number, since it is smaller than the sum of its proper divisors (90345730720).

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

58113412448 is a wasteful number, since it uses less digits than its factorization.

58113412448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13797 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The spelling of 58113412448 in words is "fifty-eight billion, one hundred thirteen million, four hundred twelve thousand, four hundred forty-eight".