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232084482048 = 2113243443661
BaseRepresentation
bin1101100000100101010…
…0000010100000000000
3211012001100220020200100
43120021110002200000
512300302111411143
6254341303522400
722524161355666
oct3301124024000
9735040806610
10232084482048
118a476704471
1238b90759400
1318b684caab3
14b3392d6c36
15608509c6d3
hex3609502800

232084482048 has 288 divisors, whose sum is σ = 688479311520. Its totient is φ = 75277762560.

The previous prime is 232084482013. The next prime is 232084482061. The reversal of 232084482048 is 840284480232.

232084482048 is a `hidden beast` number, since 2 + 320 + 84 + 48 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 232084481994 and 232084482012.

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, 351110838 + ... + 351111498.

It is an arithmetic number, because the mean of its divisors is an integer number (2390553165).

Almost surely, 2232084482048 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 232084482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344239655760).

232084482048 is an abundant number, since it is smaller than the sum of its proper divisors (456394829472).

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

232084482048 is a wasteful number, since it uses less digits than its factorization.

232084482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 232084482048 in words is "two hundred thirty-two billion, eighty-four million, four hundred eighty-two thousand, forty-eight".