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21336628233072 = 24317107578342257
BaseRepresentation
bin1001101100111110100100…
…01001011000001101110000
32210112202120022021222200210
410312133102021120031300
510244034403311424242
6113213524531544120
74331343352365645
oct466372211301560
983482508258623
1021336628233072
1168868a4435929
12248722175b040
13bba05ca41569
1453a9ac275dcc
15270034765d9c
hex1367d2258370

21336628233072 has 160 divisors (see below), whose sum is σ = 58918973087232. Its totient is φ = 6629981274112.

The previous prime is 21336628233001. The next prime is 21336628233073. The reversal of 21336628233072 is 27033282663312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21336628233073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504904168 + ... + 504946424.

Almost surely, 221336628233072 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 21336628233072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29459486543616).

21336628233072 is an abundant number, since it is smaller than the sum of its proper divisors (37582344854160).

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

21336628233072 is a wasteful number, since it uses less digits than its factorization.

21336628233072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48175 (or 48169 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 21336628233072 in words is "twenty-one trillion, three hundred thirty-six billion, six hundred twenty-eight million, two hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 136 204 214 272 321 408 428 642 816 856 1284 1712 1819 2568 3638 5136 5457 5783 7276 10914 11566 14552 17349 21828 23132 29104 34698 42257 43656 46264 69396 84514 87312 92528 98311 126771 138792 169028 196622 253542 277584 294933 338056 393244 507084 589866 618781 676112 718369 786488 1014168 1179732 1237562 1436738 1572976 1856343 2028336 2155107 2359464 2475124 2873476 3712686 4310214 4521499 4718928 4950248 5746952 7425372 8620428 9042998 9900496 10519277 11493904 13564497 14850744 17240856 18085996 21038554 27128994 29701488 31557831 34481712 36171992 42077108 54257988 63115662 72343984 76865483 84154216 108515976 126231324 153730966 168308432 217031952 230596449 244372231 252462648 307461932 461192898 488744462 504925296 614923864 733116693 922385796 977488924 1229847728 1466233386 1844771592 1954977848 2932466772 3689543184 3909955696 4154327927 5864933544 8308655854 11729867088 12462983781 16617311708 24925967562 26147828717 33234623416 49851935124 52295657434 66469246832 78443486151 99703870248 104591314868 156886972302 199407740496 209182629736 313773944604 418365259472 444513088189 627547889208 889026176378 1255095778416 1333539264567 1778052352756 2667078529134 3556104705512 5334157058268 7112209411024 10668314116536 21336628233072