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21011222048 = 25191312511051
BaseRepresentation
bin10011100100010111…
…011100111000100000
32000020022022200010012
4103210113130320200
5321012333101143
613352531224052
71342451304065
oct234427347040
960208280105
1021011222048
118a02318123
1240a4748028
131c9b04398b
141034714c6c
1582e917418
hex4e45dce20

21011222048 has 96 divisors (see below), whose sum is σ = 44092097280. Its totient is φ = 9828000000.

The previous prime is 21011222047. The next prime is 21011222051. The reversal of 21011222048 is 84022211012.

It is a super-2 number, since 2×210112220482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21011222047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19991123 + ... + 19992173.

It is an arithmetic number, because the mean of its divisors is an integer number (459292680).

Almost surely, 221011222048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22046048640).

21011222048 is an abundant number, since it is smaller than the sum of its proper divisors (23080875232).

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

21011222048 is a wasteful number, since it uses less digits than its factorization.

21011222048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 21011222048 in words is "twenty-one billion, eleven million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 131 152 251 262 304 502 524 608 1004 1048 1051 2008 2096 2102 2489 4016 4192 4204 4769 4978 8032 8408 9538 9956 16816 19076 19912 19969 32881 33632 38152 39824 39938 65762 76304 79648 79876 131524 137681 152608 159752 263048 263801 275362 319504 526096 527602 550724 624739 639008 1052192 1055204 1101448 1249478 2110408 2202896 2498956 2615939 4220816 4405792 4997912 5012219 5231878 8441632 9995824 10024438 10463756 19991648 20048876 20927512 34557931 40097752 41855024 69115862 80195504 83710048 138231724 160391008 276463448 552926896 656600689 1105853792 1313201378 2626402756 5252805512 10505611024 21011222048