Search a number
-
+
21623266264000 = 26536773992479
BaseRepresentation
bin1001110101010100011110…
…00110101100001111000000
32211120011102121022122202111
410322222033012230033000
510313233422130422000
6113553331423425104
74361141460426262
oct472521706541700
984504377278674
1021623266264000
1169874150a7a85
122512898155194
13c0b0b04b439b
1454a800947b32
1527770dd22cba
hex13aa8f1ac3c0

21623266264000 has 112 divisors (see below), whose sum is σ = 53629131329280. Its totient is φ = 8636528409600.

The previous prime is 21623266263997. The next prime is 21623266264021. The reversal of 21623266264000 is 46266232612.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 3419761 + ... + 7412239.

Almost surely, 221623266264000 is an apocalyptic number.

21623266264000 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 21623266264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814565664640).

21623266264000 is an abundant number, since it is smaller than the sum of its proper divisors (32005865065280).

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

21623266264000 is an equidigital number, since it uses as much as digits as its factorization.

21623266264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993183 (or 3993163 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 21623266264000 in words is "twenty-one trillion, six hundred twenty-three billion, two hundred sixty-six million, two hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 677 800 1000 1354 1600 2000 2708 3385 4000 5416 6770 8000 10832 13540 16925 21664 27080 33850 43328 54160 67700 84625 108320 135400 169250 216640 270800 338500 541600 677000 1083200 1354000 2708000 3992479 5416000 7984958 15969916 19962395 31939832 39924790 63879664 79849580 99811975 127759328 159699160 199623950 255518656 319398320 399247900 499059875 638796640 798495800 998119750 1277593280 1596991600 1996239500 2702908283 3193983200 3992479000 5405816566 6387966400 7984958000 10811633132 13514541415 15969916000 21623266264 27029082830 31939832000 43246532528 54058165660 67572707075 86493065056 108116331320 135145414150 172986130112 216232662640 270290828300 337863535375 432465325280 540581656600 675727070750 864930650560 1081163313200 1351454141500 2162326626400 2702908283000 4324653252800 5405816566000 10811633132000 21623266264000