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21420754848 = 253281191711
BaseRepresentation
bin10011111100110001…
…101100011110100000
32001021211221002111200
4103330301230132200
5322332203123343
613501321041200
71355553261213
oct237461543640
961254832450
1021420754848
1190a2504189
124199926200
132034b4228c
141072c7b77a
158558604d3
hex4fcc6c7a0

21420754848 has 72 divisors (see below), whose sum is σ = 60991047936. Its totient is φ = 7131369600.

The previous prime is 21420754843. The next prime is 21420754867. The reversal of 21420754848 is 84845702412.

21420754848 is a `hidden beast` number, since 21 + 42 + 0 + 7 + 548 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21420754843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187713 + ... + 279423.

It is an arithmetic number, because the mean of its divisors is an integer number (847097888).

Almost surely, 221420754848 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 21420754848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30495523968).

21420754848 is an abundant number, since it is smaller than the sum of its proper divisors (39570293088).

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

21420754848 is a wasteful number, since it uses less digits than its factorization.

21420754848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92538 (or 92527 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 21420754848 in words is "twenty-one billion, four hundred twenty million, seven hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 811 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 25952 29196 38928 58392 77856 91711 116784 183422 233568 275133 366844 550266 733688 825399 1100532 1467376 1650798 2201064 2934752 3301596 4402128 6603192 8804256 13206384 26412768 74377621 148755242 223132863 297510484 446265726 595020968 669398589 892531452 1190041936 1338797178 1785062904 2380083872 2677594356 3570125808 5355188712 7140251616 10710377424 21420754848