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21226681872 = 24321173183571
BaseRepresentation
bin10011110001001101…
…010111011000010000
32000210022202011102200
4103301031113120100
5321433012304442
613430145243200
71351005550614
oct236115273020
960708664380
1021226681872
1190029aa2a0
124144933500
1320038819b6
14105519d344
158437c734c
hex4f1357610

21226681872 has 120 divisors (see below), whose sum is σ = 65693810208. Its totient is φ = 6344179200.

The previous prime is 21226681841. The next prime is 21226681897. The reversal of 21226681872 is 27818662212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23847 + ... + 207417.

Almost surely, 221226681872 is an apocalyptic number.

21226681872 is a gapful number since it is divisible by the number (22) 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 21226681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32846905104).

21226681872 is an abundant number, since it is smaller than the sum of its proper divisors (44467128336).

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

21226681872 is a wasteful number, since it uses less digits than its factorization.

21226681872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183669 (or 183660 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 21226681872 in words is "twenty-one billion, two hundred twenty-six million, six hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 657 792 803 876 1168 1314 1584 1606 1752 2409 2628 3212 3504 4818 5256 6424 7227 9636 10512 12848 14454 19272 28908 38544 57816 115632 183571 367142 550713 734284 1101426 1468568 1652139 2019281 2202852 2937136 3304278 4038562 4405704 6057843 6608556 8077124 8811408 12115686 13217112 13400683 16154248 18173529 24231372 26434224 26801366 32308496 36347058 40202049 48462744 53602732 72694116 80404098 96925488 107205464 120606147 145388232 147407513 160808196 214410928 241212294 290776464 294815026 321616392 442222539 482424588 589630052 643232784 884445078 964849176 1179260104 1326667617 1768890156 1929698352 2358520208 2653335234 3537780312 5306670468 7075560624 10613340936 21226681872