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4331808000000 = 211325613289
BaseRepresentation
bin111111000010010011111…
…000001000100000000000
3120100010011010222112210100
4333002103320020200000
51031433020322000000
613114001035002400
7624651145321365
oct77022370104000
916303133875710
104331808000000
111420122760078
1259b649899400
13255645750900
1410d936a8646c
1577a30d7ba00
hex3f093e08800

4331808000000 has 1512 divisors, whose sum is σ = 17124398968950. Its totient is φ = 1054310400000.

The previous prime is 4331807999999. The next prime is 4331808000011. The reversal of 4331808000000 is 8081334.

It can be written as a sum of positive squares in 21 ways, for example, as 2992955360256 + 1338852639744 = 1730016^2 + 1157088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 48671999956 + ... + 48672000044.

Almost surely, 24331808000000 is an apocalyptic number.

4331808000000 is a gapful number since it is divisible by the number (40) 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 4331808000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562199484475).

4331808000000 is an abundant number, since it is smaller than the sum of its proper divisors (12792590968950).

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

4331808000000 is an frugal number, since it uses more digits than its factorization.

4331808000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 4331808000000 in words is "four trillion, three hundred thirty-one billion, eight hundred eight million", and thus it is an aban number.