Search a number
-
+
21533532320 = 255377195059
BaseRepresentation
bin10100000011011111…
…111010000010100000
32001120201010210010002
4110003133322002200
5323100041013240
613520430155132
71361423001416
oct240337720240
961521123102
1021533532320
119150132603
12420b652aa8
13205230a901
141083c372b6
158606dad15
hex5037fa0a0

21533532320 has 96 divisors (see below), whose sum is σ = 52330924800. Its totient is φ = 8367307776.

The previous prime is 21533532311. The next prime is 21533532331. The reversal of 21533532320 is 2323533512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4253951 + ... + 4259009.

It is an arithmetic number, because the mean of its divisors is an integer number (545113800).

Almost surely, 221533532320 is an apocalyptic number.

21533532320 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 21533532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165462400).

21533532320 is an abundant number, since it is smaller than the sum of its proper divisors (30797392480).

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

21533532320 is a wasteful number, since it uses less digits than its factorization.

21533532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

The spelling of 21533532320 in words is "twenty-one billion, five hundred thirty-three million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 719 740 1184 1438 1480 2876 2960 3595 5059 5752 5920 7190 10118 11504 14380 20236 23008 25295 26603 28760 40472 50590 53206 57520 80944 101180 106412 115040 133015 161888 187183 202360 212824 266030 374366 404720 425648 532060 748732 809440 851296 935915 1064120 1497464 1871830 2128240 2994928 3637421 3743660 4256480 5989856 7274842 7487320 14549684 14974640 18187105 29099368 29949280 36374210 58198736 72748420 116397472 134584577 145496840 269169154 290993680 538338308 581987360 672922885 1076676616 1345845770 2153353232 2691691540 4306706464 5383383080 10766766160 21533532320