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21535503420 = 223514914991607
BaseRepresentation
bin10100000011100111…
…011011010000111100
32001120211211220221210
4110003213123100330
5323101042102140
613520540324420
71361445521154
oct240347332074
961524756853
1021535503420
119151259512
124210243710
13205284ab42
1410841cb764
15860979d80
hex5039db43c

21535503420 has 96 divisors (see below), whose sum is σ = 60782400000. Its totient is φ = 5696905984.

The previous prime is 21535503419. The next prime is 21535503487. The reversal of 21535503420 is 2430553512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13400257 + ... + 13401863.

It is an arithmetic number, because the mean of its divisors is an integer number (633150000).

Almost surely, 221535503420 is an apocalyptic number.

21535503420 is a gapful number since it is divisible by the number (20) 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 21535503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30391200000).

21535503420 is an abundant number, since it is smaller than the sum of its proper divisors (39246896580).

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

21535503420 is a wasteful number, since it uses less digits than its factorization.

21535503420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 21535503420 in words is "twenty-one billion, five hundred thirty-five million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1499 1607 1788 2235 2980 2998 3214 4470 4497 4821 5996 6428 7495 8035 8940 8994 9642 14990 16070 17988 19284 22485 24105 29980 32140 44970 48210 89940 96420 223351 239443 446702 478886 670053 718329 893404 957772 1116755 1197215 1340106 1436658 2233510 2394430 2408893 2680212 2873316 3350265 3591645 4467020 4788860 4817786 6700530 7183290 7226679 9635572 12044465 13401060 14366580 14453358 24088930 28906716 36133395 48177860 72266790 144533580 358925057 717850114 1076775171 1435700228 1794625285 2153550342 3589250570 4307100684 5383875855 7178501140 10767751710 21535503420