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6676197264 = 24321126192
BaseRepresentation
bin1100011011110111…
…01010111110010000
3122020021102221221100
412031323222332100
5102133101303024
63022250024400
7324304511652
oct61573527620
918207387840
106676197264
1129165a2900
121363a18100
138251c2ba9
1447494c6d2
152911a77c9
hex18deeaf90

6676197264 has 135 divisors (see below), whose sum is σ = 20570277819. Its totient is φ = 2019821760.

The previous prime is 6676197259. The next prime is 6676197323. The reversal of 6676197264 is 4627916766.

The square root of 6676197264 is 81708.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 6676197264.

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 26 ways as a sum of consecutive naturals, for example, 10785147 + ... + 10785765.

Almost surely, 26676197264 is an apocalyptic number.

6676197264 is the 81708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6676197264

6676197264 is an abundant number, since it is smaller than the sum of its proper divisors (13894080555).

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

6676197264 is a wasteful number, since it uses less digits than its factorization.

6676197264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 635 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The cubic root of 6676197264 is about 1882.9684942656.

It can be divided in two parts, 66761 and 97264, that added together give a square (164025 = 4052).

The spelling of 6676197264 in words is "six billion, six hundred seventy-six million, one hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 619 726 792 968 1089 1238 1452 1584 1857 1936 2178 2476 2904 3714 4356 4952 5571 5808 6809 7428 8712 9904 11142 13618 14856 17424 20427 22284 27236 29712 40854 44568 54472 61281 74899 81708 89136 108944 122562 149798 163416 224697 245124 299596 326832 383161 449394 490248 599192 674091 766322 898788 980496 1149483 1198384 1348182 1532644 1797576 2298966 2696364 3065288 3448449 3595152 4214771 4597932 5392728 6130576 6896898 8429542 9195864 10785456 12644313 13793796 16859084 18391728 25288626 27587592 33718168 37932939 46362481 50577252 55175184 67436336 75865878 92724962 101154504 139087443 151731756 185449924 202309008 278174886 303463512 370899848 417262329 556349772 606927024 741799696 834524658 1112699544 1669049316 2225399088 3338098632 6676197264