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232730978112 = 263417191311061
BaseRepresentation
bin1101100010111111011…
…0001110011101000000
3211020201102101122120000
43120233312032131000
512303113112244422
6254525400320000
722546201450113
oct3305766163500
9736642348500
10232730978112
118a77862a536
1239131173000
1318c3c425c49
14b39b10457a
1560c1c01cac
hex362fd8e740

232730978112 has 560 divisors, whose sum is σ = 775514710080. Its totient is φ = 68578099200.

The previous prime is 232730978041. The next prime is 232730978113. The reversal of 232730978112 is 211879037232.

232730978112 is a `hidden beast` number, since 2 + 327 + 309 + 7 + 8 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232730978113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 219350062 + ... + 219351122.

Almost surely, 2232730978112 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 232730978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387757355040).

232730978112 is an abundant number, since it is smaller than the sum of its proper divisors (542783731968).

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

232730978112 is a wasteful number, since it uses less digits than its factorization.

232730978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 232730978112 in words is "two hundred thirty-two billion, seven hundred thirty million, nine hundred seventy-eight thousand, one hundred twelve".