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4230364589568 = 29351319137659
BaseRepresentation
bin111101100011110101011…
…000001110111000000000
3112222102022101022100200000
4331203311120032320000
51023302241313331233
612555222550400000
7614430243466245
oct75436530167000
915872271270600
104230364589568
1113910a6586397
12583a58660000
13248bc9ba3770
14108a720535cc
1575095074d13
hex3d8f560ee00

4230364589568 has 480 divisors, whose sum is σ = 14353004265600. Its totient is φ = 1233133756416.

The previous prime is 4230364589543. The next prime is 4230364589573. The reversal of 4230364589568 is 8659854630324.

4230364589568 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 3 + 64 + 5 + 8 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30661923 + ... + 30799581.

It is an arithmetic number, because the mean of its divisors is an integer number (29902092220).

Almost surely, 24230364589568 is an apocalyptic number.

4230364589568 is a gapful number since it is divisible by the number (48) 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 4230364589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176502132800).

4230364589568 is an abundant number, since it is smaller than the sum of its proper divisors (10122639676032).

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

4230364589568 is a wasteful number, since it uses less digits than its factorization.

4230364589568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137724 (or 137696 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 4230364589568 in words is "four trillion, two hundred thirty billion, three hundred sixty-four million, five hundred eighty-nine thousand, five hundred sixty-eight".