Search a number
-
+
30033374784 = 2637219237239
BaseRepresentation
bin11011111110001000…
…001110111001000000
32212112002002111222020
4123332020032321000
5443002020443114
621444103241440
72112153321300
oct337610167100
985462074866
1030033374784
1111812069aa6
1259a2149280
132aa827c1aa
14164ca55600
15baba1caa9
hex6fe20ee40

30033374784 has 504 divisors, whose sum is σ = 100613992320. Its totient is φ = 7876528128.

The previous prime is 30033374783. The next prime is 30033374857. The reversal of 30033374784 is 48747333003.

It is a happy number.

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 (30033374783) 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 71 ways as a sum of consecutive naturals, for example, 125662537 + ... + 125662775.

Almost surely, 230033374784 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 30033374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50306996160).

30033374784 is an abundant number, since it is smaller than the sum of its proper divisors (70580617536).

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

30033374784 is a wasteful number, since it uses less digits than its factorization.

30033374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 30033374784 in words is "thirty billion, thirty-three million, three hundred seventy-four thousand, seven hundred eighty-four".