Search a number
-
+
30739365888 = 215371131131
BaseRepresentation
bin11100101000001101…
…011000000000000000
32221100021112120200220
4130220031120000000
51000423234202023
622042123143040
72135515204350
oct345015300000
987307476626
1030739365888
1112044630620
125b5a674a80
132b8b6084ca
1416b870cb60
15bed9c53e3
hex728358000

30739365888 has 512 divisors, whose sum is σ = 106298818560. Its totient is φ = 7667712000.

The previous prime is 30739365817. The next prime is 30739365893. The reversal of 30739365888 is 88856393703.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234651583 + ... + 234651713.

It is an arithmetic number, because the mean of its divisors is an integer number (207614880).

Almost surely, 230739365888 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 30739365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53149409280).

30739365888 is an abundant number, since it is smaller than the sum of its proper divisors (75559452672).

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

30739365888 is a wasteful number, since it uses less digits than its factorization.

30739365888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 30739365888 in words is "thirty billion, seven hundred thirty-nine million, three hundred sixty-five thousand, eight hundred eighty-eight".