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114383837568 = 2737311136073
BaseRepresentation
bin110101010000111001…
…1101101100110000000
3101221020121100222222110
41222201303231212000
53333224230300233
6124314110335320
711156352402000
oct1524163554600
9357217328873
10114383837568
1144567770170
121a202aba540
13aa2b7c1430
1457714d2000
152e96ddc663
hex1aa1ced980

114383837568 has 512 divisors, whose sum is σ = 416336256000. Its totient is φ = 27420180480.

The previous prime is 114383837551. The next prime is 114383837593. The reversal of 114383837568 is 865738383411.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18831780 + ... + 18837852.

It is an arithmetic number, because the mean of its divisors is an integer number (813156750).

Almost surely, 2114383837568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114383837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208168128000).

114383837568 is an abundant number, since it is smaller than the sum of its proper divisors (301952418432).

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

114383837568 is a wasteful number, since it uses less digits than its factorization.

114383837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6109 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 114383837568 in words is "one hundred fourteen billion, three hundred eighty-three million, eight hundred thirty-seven thousand, five hundred sixty-eight".