Search a number
-
+
30597913242 = 233132389107199
BaseRepresentation
bin11100011111110001…
…110001101010011010
32220222102101001011000
4130133301301222122
51000131031210432
622020111245430
72132146654101
oct343761615232
986872331130
1030597913242
1111a817a7106
125b1b219876
132b6820cc10
1416a3a0b038
15be138357c
hex71fc71a9a

30597913242 has 256 divisors, whose sum is σ = 78382080000. Its totient is φ = 8776677888.

The previous prime is 30597913193. The next prime is 30597913243. The reversal of 30597913242 is 24231979503.

30597913242 is a `hidden beast` number, since 3 + 0 + 597 + 9 + 13 + 2 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (30597913243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153758259 + ... + 153758457.

It is an arithmetic number, because the mean of its divisors is an integer number (306180000).

Almost surely, 230597913242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30597913242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040000).

30597913242 is an abundant number, since it is smaller than the sum of its proper divisors (47784166758).

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

30597913242 is a wasteful number, since it uses less digits than its factorization.

30597913242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 30597913242 in words is "thirty billion, five hundred ninety-seven million, nine hundred thirteen thousand, two hundred forty-two".