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234650808000 = 26325372227293
BaseRepresentation
bin1101101010001001000…
…1110010111011000000
3211102200012220010001200
43122202101302323000
512321031101324000
6255444101101200
722644602646600
oct3324221627300
9742605803050
10234650808000
119057329a104
12395880b7800
13191870b066b
14b500090c00
15618552a500
hex36a2472ec0

234650808000 has 1008 divisors, whose sum is σ = 984076146144. Its totient is φ = 53215948800.

The previous prime is 234650807957. The next prime is 234650808031. The reversal of 234650808000 is 808056432.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2346508080002 (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 800855854 + ... + 800856146.

It is an arithmetic number, because the mean of its divisors is an integer number (976266018).

Almost surely, 2234650808000 is an apocalyptic number.

234650808000 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 234650808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492038073072).

234650808000 is an abundant number, since it is smaller than the sum of its proper divisors (749425338144).

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

234650808000 is a wasteful number, since it uses less digits than its factorization.

234650808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 234650808000 in words is "two hundred thirty-four billion, six hundred fifty million, eight hundred eight thousand".