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21124426392 = 23324161731607
BaseRepresentation
bin10011101011000111…
…010010101010011000
32000112012100001021200
4103223013102222120
5321230323121032
613412053434200
71345324442646
oct235307225230
960465301250
1021124426392
118a60208233
12411663b960
131cb862b6b4
141045782196
1583982947c
hex4eb1d2a98

21124426392 has 192 divisors, whose sum is σ = 60421757760. Its totient is φ = 6660403200.

The previous prime is 21124426361. The next prime is 21124426397. The reversal of 21124426392 is 29362442112.

It is a happy number.

21124426392 is a `hidden beast` number, since 2 + 1 + 1 + 244 + 26 + 392 = 666.

It is a super-2 number, since 2×211244263922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124426397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13144453 + ... + 13146059.

It is an arithmetic number, because the mean of its divisors is an integer number (314696655).

Almost surely, 221124426392 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 21124426392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30210878880).

21124426392 is an abundant number, since it is smaller than the sum of its proper divisors (39297331368).

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

21124426392 is a wasteful number, since it uses less digits than its factorization.

21124426392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1787 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 21124426392 in words is "twenty-one billion, one hundred twenty-four million, four hundred twenty-six thousand, three hundred ninety-two".