Search a number
-
+
30274920676 = 22721131379113
BaseRepresentation
bin11100001100100001…
…101010000011100100
32220010220121022122101
4130030201222003210
5444000334430201
621524052341444
72121145402600
oct341441520344
986126538571
1030274920676
1111926449000
125a4b014884
132b16321860
141672b70500
15bc2d31d01
hex70c86a0e4

30274920676 has 288 divisors, whose sum is σ = 74582484480. Its totient is φ = 10655124480.

The previous prime is 30274920673. The next prime is 30274920743. The reversal of 30274920676 is 67602947203.

It is not an unprimeable number, because it can be changed into a prime (30274920671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267919596 + ... + 267919708.

It is an arithmetic number, because the mean of its divisors is an integer number (258966960).

Almost surely, 230274920676 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 30274920676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291242240).

30274920676 is an abundant number, since it is smaller than the sum of its proper divisors (44307563804).

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

30274920676 is a wasteful number, since it uses less digits than its factorization.

30274920676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 30274920676 in words is "thirty billion, two hundred seventy-four million, nine hundred twenty thousand, six hundred seventy-six".