Search a number
-
+
30132988704 = 25327132941967
BaseRepresentation
bin11100000100000100…
…001110101100100000
32212210000112102120200
4130010010032230200
5443203021114304
621502022305200
72114503115010
oct340404165440
985700472520
1030132988704
1111863317455
125a0b588200
132ac2ab9040
14165bd85c40
15bb5647e39
hex70410eb20

30132988704 has 576 divisors, whose sum is σ = 111878807040. Its totient is φ = 7478231040.

The previous prime is 30132988679. The next prime is 30132988727. The reversal of 30132988704 is 40788923103.

It is a self number, because there is not a number n which added to its sum of digits gives 30132988704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31160829 + ... + 31161795.

It is an arithmetic number, because the mean of its divisors is an integer number (194234040).

Almost surely, 230132988704 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 30132988704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55939403520).

30132988704 is an abundant number, since it is smaller than the sum of its proper divisors (81745818336).

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

30132988704 is a wasteful number, since it uses less digits than its factorization.

30132988704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30132988704 in words is "thirty billion, one hundred thirty-two million, nine hundred eighty-eight thousand, seven hundred four".