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58111014384 = 2433997134921
BaseRepresentation
bin110110000111101011…
…111011010111110000
312112222212010101122000
4312013223323113300
51423002404430014
642410144414000
74125021321003
oct660753732760
9175885111560
1058111014384
1122710175225
12b319317300
1356312b1b17
142b53a5553a
1517a19bd509
hexd87afb5f0

58111014384 has 80 divisors (see below), whose sum is σ = 166968673440. Its totient is φ = 19350766080.

The previous prime is 58111014383. The next prime is 58111014397. The reversal of 58111014384 is 48341011185.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58111014383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363244 + ... + 498164.

It is an arithmetic number, because the mean of its divisors is an integer number (2087108418).

Almost surely, 258111014384 is an apocalyptic number.

58111014384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58111014384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83484336720).

58111014384 is an abundant number, since it is smaller than the sum of its proper divisors (108857659056).

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

58111014384 is a wasteful number, since it uses less digits than its factorization.

58111014384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135935 (or 135923 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 58111014384 in words is "fifty-eight billion, one hundred eleven million, fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 997 1994 2991 3988 5982 7976 8973 11964 15952 17946 23928 26919 35892 47856 53838 71784 107676 134921 143568 215352 269842 404763 430704 539684 809526 1079368 1214289 1619052 2158736 2428578 3238104 3642867 4857156 6476208 7285734 9714312 14571468 19428624 29142936 58285872 134516237 269032474 403548711 538064948 807097422 1076129896 1210646133 1614194844 2152259792 2421292266 3228389688 3631938399 4842584532 6456779376 7263876798 9685169064 14527753596 19370338128 29055507192 58111014384