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13222064944 = 24112311511459
BaseRepresentation
bin11000101000001100…
…01011001100110000
31021010110122111022001
430110012023030300
5204034322034234
610024002423344
7645440461204
oct142406131460
937113574261
1013222064944
115675569100
122690061b54
1313293b328a
148d6052b04
15525bb8d14
hex31418b330

13222064944 has 120 divisors (see below), whose sum is σ = 29279237120. Its totient is φ = 5773680000.

The previous prime is 13222064939. The next prime is 13222064963. The reversal of 13222064944 is 44946022231.

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 23 ways as a sum of consecutive naturals, for example, 9061687 + ... + 9063145.

Almost surely, 213222064944 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 13222064944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639618560).

13222064944 is an abundant number, since it is smaller than the sum of its proper divisors (16057172176).

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

13222064944 is a wasteful number, since it uses less digits than its factorization.

13222064944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 13222064944 in words is "thirteen billion, two hundred twenty-two million, sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 151 176 242 248 302 341 484 496 604 682 968 1208 1364 1459 1661 1936 2416 2728 2918 3322 3751 4681 5456 5836 6644 7502 9362 11672 13288 15004 16049 18271 18724 23344 26576 30008 32098 36542 37448 45229 51491 60016 64196 73084 74896 90458 102982 128392 146168 176539 180916 205964 220309 256784 292336 353078 361832 411928 440618 497519 566401 706156 723664 823856 881236 995038 1132802 1412312 1762472 1990076 2265604 2423399 2824624 3524944 3980152 4531208 4846798 5472709 6829579 7960304 9062416 9693596 10945418 13659158 19387192 21890836 26657389 27318316 38774384 43781672 53314778 54636632 75125369 87563344 106629556 109273264 150250738 213259112 300501476 426518224 601002952 826379059 1202005904 1652758118 3305516236 6611032472 13222064944