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234532120680 = 233551113315443
BaseRepresentation
bin1101101001101100110…
…1000010100001101000
3211102100221120011200000
43122123031002201220
512320310210330210
6255424221143000
722641632063454
oct3323315024150
9742327504600
10234532120680
11905122a4610
12395543baa60
1319168626090
14b4cc3d7664
156179dd3ac0
hex369b342868

234532120680 has 768 divisors, whose sum is σ = 958785085440. Its totient is φ = 50780390400.

The previous prime is 234532120679. The next prime is 234532120699. The reversal of 234532120680 is 86021235432.

234532120680 is a `hidden beast` number, since 2 + 3 + 453 + 2 + 120 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43086039 + ... + 43091481.

It is an arithmetic number, because the mean of its divisors is an integer number (1248418080).

Almost surely, 2234532120680 is an apocalyptic number.

234532120680 is a gapful number since it is divisible by the number (20) 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 234532120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479392542720).

234532120680 is an abundant number, since it is smaller than the sum of its proper divisors (724252964760).

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

234532120680 is a wasteful number, since it uses less digits than its factorization.

234532120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 234532120680 in words is "two hundred thirty-four billion, five hundred thirty-two million, one hundred twenty thousand, six hundred eighty".