Search a number
-
+
58795051392 = 27367311167
BaseRepresentation
bin110110110000011101…
…010100100110000000
312121202112021002000000
4312300131110212000
51430403013121032
643002102000000
74150665456000
oct666035244600
9177675232000
1058795051392
1122a31301370
12b48a416000
13570cc2244c
142bba836000
1517e1a8ae7c
hexdb0754980

58795051392 has 896 divisors, whose sum is σ = 224755776000. Its totient is φ = 15179996160.

The previous prime is 58795051349. The next prime is 58795051439. The reversal of 58795051392 is 29315059785.

58795051392 is a `hidden beast` number, since 5 + 8 + 79 + 50 + 513 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×587950513922 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 352066093 + ... + 352066259.

It is an arithmetic number, because the mean of its divisors is an integer number (250843500).

Almost surely, 258795051392 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 58795051392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112377888000).

58795051392 is an abundant number, since it is smaller than the sum of its proper divisors (165960724608).

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

58795051392 is an equidigital number, since it uses as much as digits as its factorization.

58795051392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 58795051392 in words is "fifty-eight billion, seven hundred ninety-five million, fifty-one thousand, three hundred ninety-two".