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230933427648 = 263711314771151
BaseRepresentation
bin1101011100010010110…
…1000111010111000000
3211002002010222121212220
43113010231013113000
512240422424141043
6254031144451040
722453513514160
oct3270455072700
9732063877786
10230933427648
1189a35999240
123890b179a80
1318a13bb2b11
14b26a4a85a0
156018ece483
hex35c4b475c0

230933427648 has 896 divisors, whose sum is σ = 819789299712. Its totient is φ = 55641600000.

The previous prime is 230933427629. The next prime is 230933427677. The reversal of 230933427648 is 846724339032.

It is a self number, because there is not a number n which added to its sum of digits gives 230933427648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1529360373 + ... + 1529360523.

Almost surely, 2230933427648 is an apocalyptic number.

230933427648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230933427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409894649856).

230933427648 is an abundant number, since it is smaller than the sum of its proper divisors (588855872064).

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

230933427648 is a wasteful number, since it uses less digits than its factorization.

230933427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 230933427648 in words is "two hundred thirty billion, nine hundred thirty-three million, four hundred twenty-seven thousand, six hundred forty-eight".