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21801482304 = 263779720353
BaseRepresentation
bin10100010011011110…
…000011100001000000
32002021101100001101120
4110103132003201000
5324122134413204
614003201232240
71401155353620
oct242336034100
962241301346
1021801482304
119278406378
124285332680
1320959965b4
1410ab666880
15878eb86d9
hex513783840

21801482304 has 112 divisors (see below), whose sum is σ = 66009487488. Its totient is φ = 6220873728.

The previous prime is 21801482293. The next prime is 21801482347. The reversal of 21801482304 is 40328410812.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060992 + ... + 1081344.

It is an arithmetic number, because the mean of its divisors is an integer number (589370424).

Almost surely, 221801482304 is an apocalyptic number.

21801482304 is a gapful number since it is divisible by the number (24) 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 21801482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33004743744).

21801482304 is an abundant number, since it is smaller than the sum of its proper divisors (44208005184).

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

21801482304 is a wasteful number, since it uses less digits than its factorization.

21801482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21172 (or 21162 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 21801482304 in words is "twenty-one billion, eight hundred one million, four hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 797 1344 1594 2391 3188 4782 5579 6376 9564 11158 12752 16737 19128 20353 22316 25504 33474 38256 40706 44632 51008 61059 66948 76512 81412 89264 122118 133896 142471 153024 162824 178528 244236 267792 284942 325648 357056 427413 488472 535584 569884 651296 854826 976944 1071168 1139768 1302592 1709652 1953888 2279536 3419304 3907776 4559072 6838608 9118144 13677216 16221341 27354432 32442682 48664023 64885364 97328046 113549387 129770728 194656092 227098774 259541456 340648161 389312184 454197548 519082912 681296322 778624368 908395096 1038165824 1362592644 1557248736 1816790192 2725185288 3114497472 3633580384 5450370576 7267160768 10900741152 21801482304