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21799714048 = 28717967961
BaseRepresentation
bin10100010011010111…
…010011110100000000
32002021021000012210121
4110103113103310000
5324121211322143
614003055310024
71401134340430
oct242327236400
962237005717
1021799714048
119277408902
12428481b314
1320954c77a8
1410ab3262c0
15878c697ed
hex5135d3d00

21799714048 has 72 divisors (see below), whose sum is σ = 50009158080. Its totient is φ = 9290403840.

The previous prime is 21799714007. The next prime is 21799714081. The reversal of 21799714048 is 84041799712.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21799713986 and 21799714004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286788 + ... + 354748.

It is an arithmetic number, because the mean of its divisors is an integer number (694571640).

Almost surely, 221799714048 is an apocalyptic number.

21799714048 is a gapful number since it is divisible by the number (28) 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 21799714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004579040).

21799714048 is an abundant number, since it is smaller than the sum of its proper divisors (28209444032).

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

21799714048 is an equidigital number, since it uses as much as digits as its factorization.

21799714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68163 (or 68149 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 21799714048 in words is "twenty-one billion, seven hundred ninety-nine million, seven hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 179 224 256 358 448 716 896 1253 1432 1792 2506 2864 5012 5728 10024 11456 20048 22912 40096 45824 67961 80192 135922 160384 271844 320768 475727 543688 951454 1087376 1902908 2174752 3805816 4349504 7611632 8699008 12165019 15223264 17398016 24330038 30446528 48660076 60893056 85155133 97320152 121786112 170310266 194640304 340620532 389280608 681241064 778561216 1362482128 1557122432 2724964256 3114244864 5449928512 10899857024 21799714048