Search a number
-
+
30471465024 = 263271113411289
BaseRepresentation
bin11100011000001111…
…011010100001000000
32220122121102210210200
4130120033122201000
5444401143340044
621555353125200
72126053115310
oct343017324100
986577383720
1030471465024
1111a17390750
125aa49b9800
132b47c68ca0
141690cd3440
15bd5207369
hex7183da840

30471465024 has 672 divisors, whose sum is σ = 120222385920. Its totient is φ = 7122124800.

The previous prime is 30471465019. The next prime is 30471465071. The reversal of 30471465024 is 42056417403.

30471465024 is a `hidden beast` number, since 3 + 0 + 4 + 7 + 146 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30471465024.

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, 23638972 + ... + 23640260.

It is an arithmetic number, because the mean of its divisors is an integer number (178902360).

Almost surely, 230471465024 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 30471465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60111192960).

30471465024 is an abundant number, since it is smaller than the sum of its proper divisors (89750920896).

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

30471465024 is a wasteful number, since it uses less digits than its factorization.

30471465024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 30471465024 in words is "thirty billion, four hundred seventy-one million, four hundred sixty-five thousand, twenty-four".