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2132663500 = 225311232733
BaseRepresentation
bin111111100011101…
…1101110011001100
312111121222112100001
41333013131303030
513331430213000
6551342214044
7103564224562
oct17707356314
95447875301
102132663500
119a4918720
124b6284324
1327cab6286
1416334da32
15c736a46a
hex7f1ddccc

2132663500 has 144 divisors (see below), whose sum is σ = 5318939808. Its totient is φ = 740784000.

The previous prime is 2132663483. The next prime is 2132663527. The reversal of 2132663500 is 53662312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2909134 + ... + 2909866.

It is an arithmetic number, because the mean of its divisors is an integer number (36937082).

Almost surely, 22132663500 is an apocalyptic number.

2132663500 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 2132663500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659469904).

2132663500 is an abundant number, since it is smaller than the sum of its proper divisors (3186276308).

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

2132663500 is a wasteful number, since it uses less digits than its factorization.

2132663500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 2132663500 is about 46180.7698073560. The cubic root of 2132663500 is about 1287.1844326677.

The spelling of 2132663500 in words is "two billion, one hundred thirty-two million, six hundred sixty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 125 220 230 250 253 275 460 500 506 529 550 575 733 1012 1058 1100 1150 1265 1375 1466 2116 2300 2530 2645 2750 2875 2932 3665 5060 5290 5500 5750 5819 6325 7330 8063 10580 11500 11638 12650 13225 14660 16126 16859 18325 23276 25300 26450 29095 31625 32252 33718 36650 40315 52900 58190 63250 66125 67436 73300 80630 84295 91625 116380 126500 132250 145475 161260 168590 183250 185449 201575 264500 290950 337180 366500 370898 387757 403150 421475 581900 727375 741796 775514 806300 842950 927245 1007875 1454750 1551028 1685900 1854490 1938785 2015750 2107375 2909500 3708980 3877570 4031500 4214750 4265327 4636225 7755140 8429500 8530654 9272450 9693925 17061308 18544900 19387850 21326635 23181125 38775700 42653270 46362250 48469625 85306540 92724500 96939250 106633175 193878500 213266350 426532700 533165875 1066331750 2132663500