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66223422272 = 267799072063
BaseRepresentation
bin111101101011001110…
…010011101101000000
320022221020001102011102
4331223032103231000
52041111144003042
650231141433532
74533035541650
oct755316235500
9208836042142
1066223422272
11260a3439357
1210a0210b8a8
136324bc1287
1432c3220360
151ac8cbeb32
hexf6b393b40

66223422272 has 112 divisors (see below), whose sum is σ = 152327823360. Its totient is φ = 27977743872.

The previous prime is 66223422227. The next prime is 66223422283. The reversal of 66223422272 is 27222432266.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32099513 + ... + 32101575.

Almost surely, 266223422272 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 66223422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76163911680).

66223422272 is an abundant number, since it is smaller than the sum of its proper divisors (86104401088).

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

66223422272 is a wasteful number, since it uses less digits than its factorization.

66223422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3058 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The spelling of 66223422272 in words is "sixty-six billion, two hundred twenty-three million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 907 1106 1264 1814 2063 2212 2528 3628 4126 4424 5056 6349 7256 8252 8848 12698 14441 14512 16504 17696 25396 28882 29024 33008 35392 50792 57764 58048 66016 71653 101584 115528 132032 143306 162977 203168 231056 286612 325954 406336 462112 501571 573224 651908 924224 1003142 1140839 1146448 1303816 1871141 2006284 2281678 2292896 2607632 3742282 4012568 4563356 4585792 5215264 7484564 8025136 9126712 10430528 13097987 14969128 16050272 18253424 26195974 29938256 32100544 36506848 52391948 59876512 73013696 104783896 119753024 147820139 209567792 295640278 419135584 591280556 838271168 1034740973 1182561112 2069481946 2365122224 4138963892 4730244448 8277927784 9460488896 16555855568 33111711136 66223422272