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14963160976 = 245325772
BaseRepresentation
bin11011110111101111…
…11011011110010000
31102121210211100001021
431323313323132100
5221121032122401
610512440245224
71036541525011
oct157367733620
942553740037
1014963160976
116389350345
122a97170814
13154601b20a
14a1d395008
155c89892a1
hex37bdfb790

14963160976 has 45 divisors (see below), whose sum is σ = 29599746771. Its totient is φ = 7327696896.

The previous prime is 14963160973. The next prime is 14963160977. The reversal of 14963160976 is 67906136941.

The square root of 14963160976 is 122324.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9628319376 + 5334841600 = 98124^2 + 73040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14963160973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25932400 + ... + 25932976.

Almost surely, 214963160976 is an apocalyptic number.

14963160976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14963160976 is the 122324-th square number.

It is an amenable number.

14963160976 is a deficient number, since it is larger than the sum of its proper divisors (14636585795).

14963160976 is an frugal number, since it uses more digits than its factorization.

14963160976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 14963160976 in words is "fourteen billion, nine hundred sixty-three million, one hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 53 106 212 424 577 848 1154 2308 2809 4616 5618 9232 11236 22472 30581 44944 61162 122324 244648 332929 489296 665858 1331716 1620793 2663432 3241586 5326864 6483172 12966344 17645237 25932688 35290474 70580948 141161896 282323792 935197561 1870395122 3740790244 7481580488 14963160976