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21473593344 = 211337291913
BaseRepresentation
bin10011111111111011…
…010000100000000000
32001102112100120022000
4103333323100200000
5322434214441334
613510445344000
71360064350260
oct237773204000
961375316260
1021473593344
11911a313565
1241b3568000
132042a82668
141079cb37a0
1585a2eb299
hex4ffed0800

21473593344 has 384 divisors, whose sum is σ = 75243168000. Its totient is φ = 5920653312.

The previous prime is 21473593343. The next prime is 21473593357. The reversal of 21473593344 is 44339537412.

21473593344 is a `hidden beast` number, since 2 + 14 + 7 + 3 + 593 + 3 + 44 = 666.

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

It is a super-2 number, since 2×214735933442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21473593344.

It is not an unprimeable number, because it can be changed into a prime (21473593343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11224132 + ... + 11226044.

It is an arithmetic number, because the mean of its divisors is an integer number (195945750).

Almost surely, 221473593344 is an apocalyptic number.

21473593344 is a gapful number since it is divisible by the number (24) 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 21473593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37621584000).

21473593344 is an abundant number, since it is smaller than the sum of its proper divisors (53769574656).

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

21473593344 is a wasteful number, since it uses less digits than its factorization.

21473593344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1954 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 21473593344 in words is "twenty-one billion, four hundred seventy-three million, five hundred ninety-three thousand, three hundred forty-four".