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23072856576 = 293721129312
BaseRepresentation
bin10101011111001111…
…111101101000000000
32012112222122120000120
4111133033331220000
5334223122402301
614333255220240
71444524021300
oct253717755000
965488576016
1023072856576
119870031710
12457b077680
1322391bac73
14118c455600
15900901e36
hex55f3fda00

23072856576 has 720 divisors, whose sum is σ = 83380065120. Its totient is φ = 5599641600.

The previous prime is 23072856563. The next prime is 23072856577. The reversal of 23072856576 is 67565827032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23072856577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 744285681 + ... + 744285711.

It is an arithmetic number, because the mean of its divisors is an integer number (115805646).

Almost surely, 223072856576 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 23072856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41690032560).

23072856576 is an abundant number, since it is smaller than the sum of its proper divisors (60307208544).

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

23072856576 is a wasteful number, since it uses less digits than its factorization.

23072856576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 23072856576 in words is "twenty-three billion, seventy-two million, eight hundred fifty-six thousand, five hundred seventy-six".