Search a number
-
+
8221328741388 = 2237231641703631
BaseRepresentation
bin111011110100010110101…
…1000010001010000001100
31002002221200112110102010110
41313220231120101100030
52034144240124211023
625252454251040020
71505654122164600
oct167505530212014
932087615412113
108221328741388
11268a711821534
12b09422440010
1347836397a069
14205cb32c9500
15e3cc7b21a93
hex77a2d61140c

8221328741388 has 144 divisors (see below), whose sum is σ = 23070843629568. Its totient is φ = 2269628928000.

The previous prime is 8221328741363. The next prime is 8221328741389. The reversal of 8221328741388 is 8831478231228.

It is not an unprimeable number, because it can be changed into a prime (8221328741389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11332333 + ... + 12035963.

It is an arithmetic number, because the mean of its divisors is an integer number (160214191872).

Almost surely, 28221328741388 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 8221328741388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535421814784).

8221328741388 is an abundant number, since it is smaller than the sum of its proper divisors (14849514888180).

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

8221328741388 is a wasteful number, since it uses less digits than its factorization.

8221328741388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704324 (or 704315 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The spelling of 8221328741388 in words is "eight trillion, two hundred twenty-one billion, three hundred twenty-eight million, seven hundred forty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 641 651 868 1282 1302 1519 1923 2564 2604 3038 3846 4487 4557 6076 7692 8974 9114 13461 17948 18228 19871 26922 31409 39742 53844 59613 62818 79484 94227 119226 125636 139097 188454 238452 278194 376908 417291 556388 703631 834582 973679 1407262 1669164 1947358 2110893 2814524 2921037 3894716 4221786 4925417 5842074 8443572 9850834 11684148 14776251 19701668 21812561 29552502 34477919 43625122 59105004 65437683 68955838 87250244 103433757 130875366 137911676 152687927 206867514 261750732 305375854 413735028 451027471 458063781 610751708 902054942 916127562 1068815489 1353082413 1804109884 1832255124 2137630978 2706164826 3157192297 3206446467 4275261956 5412329652 6314384594 6412892934 9471576891 12628769188 12825785868 13981851601 18943153782 22100346079 27963703202 37886307564 41945554803 44200692158 55927406404 66301038237 83891109606 88401384316 97872961207 132602076474 167782219212 195745922414 265204152948 293618883621 391491844828 587237767242 685110728449 1174475534484 1370221456898 2055332185347 2740442913796 4110664370694 8221328741388