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21500372432 = 2471126096689
BaseRepresentation
bin10100000001100001…
…011010010111010000
32001111101202002022002
4110001201122113100
5323013043404212
613513243333132
71360541102360
oct240141322720
961441662262
1021500372432
119133444040
1242005211a8
13204849a586
14107d6849a0
1585c83aac2
hex50185a5d0

21500372432 has 80 divisors (see below), whose sum is σ = 51963638400. Its totient is φ = 8372305920.

The previous prime is 21500372401. The next prime is 21500372449. The reversal of 21500372432 is 23427300512.

It is a junction number, because it is equal to n+sod(n) for n = 21500372395 and 21500372404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3210944 + ... + 3217632.

It is an arithmetic number, because the mean of its divisors is an integer number (649545480).

Almost surely, 221500372432 is an apocalyptic number.

21500372432 is a gapful number since it is divisible by the number (22) 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 21500372432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25981819200).

21500372432 is an abundant number, since it is smaller than the sum of its proper divisors (30463265968).

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

21500372432 is a wasteful number, since it uses less digits than its factorization.

21500372432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

Adding to 21500372432 its reverse (23427300512), we get a palindrome (44927672944).

The spelling of 21500372432 in words is "twenty-one billion, five hundred million, three hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2609 5218 6689 10436 13378 18263 20872 26756 28699 36526 41744 46823 53512 57398 73052 73579 93646 107024 114796 146104 147158 187292 200893 229592 292208 294316 374584 401786 459184 515053 588632 749168 803572 1030106 1177264 1607144 2060212 3214288 4120424 8240848 17451601 34903202 69806404 122161207 139612808 191967611 244322414 279225616 383935222 488644828 767870444 977289656 1343773277 1535740888 1954579312 2687546554 3071481776 5375093108 10750186216 21500372432