Search a number
-
+
58794367104 = 273511239719
BaseRepresentation
bin110110110000011010…
…101101100010000000
312121202110222022100000
4312300122231202000
51430402324221404
643002035200000
74150656605664
oct666032554200
9177673868300
1058794367104
1122a30984240
12b48a146000
13570ca42b45
142bba6d88a4
1517e19a3339
hexdb06ad880

58794367104 has 384 divisors, whose sum is σ = 192471552000. Its totient is φ = 17717253120.

The previous prime is 58794367103. The next prime is 58794367139. The reversal of 58794367104 is 40176349785.

58794367104 is a `hidden beast` number, since 587 + 9 + 43 + 6 + 7 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (58794367103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81772057 + ... + 81772775.

It is an arithmetic number, because the mean of its divisors is an integer number (501228000).

Almost surely, 258794367104 is an apocalyptic number.

58794367104 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 58794367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776000).

58794367104 is an abundant number, since it is smaller than the sum of its proper divisors (133677184896).

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

58794367104 is a wasteful number, since it uses less digits than its factorization.

58794367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 58794367104 in words is "fifty-eight billion, seven hundred ninety-four million, three hundred sixty-seven thousand, one hundred four".