Search a number
-
+
30303728064 = 26321912721803
BaseRepresentation
bin11100001110001111…
…100011000111000000
32220012220210212221200
4130032033203013000
5444030223244224
621531002021200
72121645303261
oct341617430700
986186725850
1030303728064
1111940734465
125a587a7800
132b1c299a4c
14167690c968
15bc56225c9
hex70e3e31c0

30303728064 has 168 divisors, whose sum is σ = 92155914240. Its totient is φ = 9493811712.

The previous prime is 30303728057. The next prime is 30303728071. The reversal of 30303728064 is 46082730303.

It is an interprime number because it is at equal distance from previous prime (30303728057) and next prime (30303728071).

It is a super-2 number, since 2×303037280642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378987 + ... + 1400789.

Almost surely, 230303728064 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 30303728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46077957120).

30303728064 is an abundant number, since it is smaller than the sum of its proper divisors (61852186176).

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

30303728064 is a wasteful number, since it uses less digits than its factorization.

30303728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21967 (or 21954 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30303728064 in words is "thirty billion, three hundred three million, seven hundred twenty-eight thousand, sixty-four".