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21623940385488 = 243371719311913739
BaseRepresentation
bin1001110101010101101110…
…10010010000101011010000
32211120020011120210120121000
410322222313102100223100
510313241312214313423
6113553522344302000
74361164254366120
oct472526722205320
984506146716530
1021623940385488
116987730681481
122512a45a71900
13c0b18a06273c
1454a8662a6c80
1527774d0d2843
hex13aab7490ad0

21623940385488 has 1280 divisors, whose sum is σ = 82061033472000. Its totient is φ = 5301763891200.

The previous prime is 21623940385423. The next prime is 21623940385513. The reversal of 21623940385488 is 88458304932612.

21623940385488 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 39 + 40 + 3 + 85 + 488 = 666.

It is a super-3 number, since 3×216239403854883 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5783346723 + ... + 5783350461.

It is an arithmetic number, because the mean of its divisors is an integer number (64110182400).

Almost surely, 221623940385488 is an apocalyptic number.

21623940385488 is a gapful number since it is divisible by the number (28) 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 21623940385488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41030516736000).

21623940385488 is an abundant number, since it is smaller than the sum of its proper divisors (60437093086512).

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

21623940385488 is a wasteful number, since it uses less digits than its factorization.

21623940385488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 21623940385488 in words is "twenty-one trillion, six hundred twenty-three billion, nine hundred forty million, three hundred eighty-five thousand, four hundred eighty-eight".