Search a number
-
+
30097567500 = 223547111319211
BaseRepresentation
bin11100000001111101…
…000110111100001100
32212200112212211211020
4130001331012330030
5443114434130000
621454315154140
72113563050130
oct340175067414
985615784736
1030097567500
1111845323a30
1259bb745950
132ab8666650
1416573a53c0
15bb249cba0
hex701f46f0c

30097567500 has 960 divisors, whose sum is σ = 124616110080. Its totient is φ = 5443200000.

The previous prime is 30097567477. The next prime is 30097567501. The reversal of 30097567500 is 576579003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30097567501) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 142642395 + ... + 142642605.

It is an arithmetic number, because the mean of its divisors is an integer number (129808448).

Almost surely, 230097567500 is an apocalyptic number.

30097567500 is a gapful number since it is divisible by the number (30) 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 30097567500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62308055040).

30097567500 is an abundant number, since it is smaller than the sum of its proper divisors (94518542580).

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

30097567500 is a wasteful number, since it uses less digits than its factorization.

30097567500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The spelling of 30097567500 in words is "thirty billion, ninety-seven million, five hundred sixty-seven thousand, five hundred".