Search a number
-
+
30164063076 = 223272374191103
BaseRepresentation
bin11100000101111010…
…110001001101100100
32212212012000011121100
4130011322301031210
5443234000004301
621505052320100
72115331206600
oct340572611544
985765004540
1030164063076
1111879911054
125a19a73030
132ac9379044
141662154500
15bb8235286
hex705eb1364

30164063076 has 216 divisors, whose sum is σ = 91394110080. Its totient is φ = 8357779584.

The previous prime is 30164063029. The next prime is 30164063081. The reversal of 30164063076 is 67036046103.

It is a happy number.

30164063076 is a `hidden beast` number, since 3 + 0 + 1 + 640 + 6 + 3 + 0 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30164063076.

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 71 ways as a sum of consecutive naturals, for example, 27346741 + ... + 27347843.

It is an arithmetic number, because the mean of its divisors is an integer number (423120880).

Almost surely, 230164063076 is an apocalyptic number.

30164063076 is a gapful number since it is divisible by the number (36) 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 30164063076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45697055040).

30164063076 is an abundant number, since it is smaller than the sum of its proper divisors (61230047004).

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

30164063076 is a wasteful number, since it uses less digits than its factorization.

30164063076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30164063076 in words is "thirty billion, one hundred sixty-four million, sixty-three thousand, seventy-six".