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23351461241472 = 2732713337660983
BaseRepresentation
bin1010100111100111011111…
…00011010110001010000000
310001200101012111001201221100
411103303233203112022000
511030042243034211342
6121355302503454400
74630041656364330
oct523635743261200
9101611174051840
1023351461241472
117493332110441
122751805157400
131005058353a80
145aa306abb0c0
152a7659a6de4c
hex153cef8d6280

23351461241472 has 384 divisors, whose sum is σ = 82948627157760. Its totient is φ = 6140342992896.

The previous prime is 23351461241453. The next prime is 23351461241477. The reversal of 23351461241472 is 27414216415332.

23351461241472 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 14 + 612 + 4 + 14 + 7 + 2 = 666.

23351461241472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×233514612414722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23351461241477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34997893 + ... + 35658875.

It is an arithmetic number, because the mean of its divisors is an integer number (216012049890).

Almost surely, 223351461241472 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 23351461241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41474313578880).

23351461241472 is an abundant number, since it is smaller than the sum of its proper divisors (59597165916288).

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

23351461241472 is a wasteful number, since it uses less digits than its factorization.

23351461241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661360 (or 661345 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 23351461241472 in words is "twenty-three trillion, three hundred fifty-one billion, four hundred sixty-one million, two hundred forty-one thousand, four hundred seventy-two".