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232834960512 = 2733721131033
BaseRepresentation
bin1101100011011000001…
…0111000110010000000
3211020222200001111121000
43120312002320302000
512303321222214022
6254543553132000
722551603336600
oct3306602706200
9736880044530
10232834960512
118a8212a1000
123915bb5a000
1318c57b322ab
14b3aac50c00
1560cade16ac
hex36360b8c80

232834960512 has 768 divisors, whose sum is σ = 880109366400. Its totient is φ = 60418068480.

The previous prime is 232834960507. The next prime is 232834960573. The reversal of 232834960512 is 215069438232.

232834960512 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 34 + 9 + 605 + 1 + 2 = 666.

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, 225396348 + ... + 225397380.

Almost surely, 2232834960512 is an apocalyptic number.

232834960512 is a gapful number since it is divisible by the number (22) 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 232834960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440054683200).

232834960512 is an abundant number, since it is smaller than the sum of its proper divisors (647274405888).

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

232834960512 is a wasteful number, since it uses less digits than its factorization.

232834960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 232834960512 in words is "two hundred thirty-two billion, eight hundred thirty-four million, nine hundred sixty thousand, five hundred twelve".