Search a number
-
+
14966096896 = 21038232
BaseRepresentation
bin11011111000000110…
…01000010000000000
31102122000100111101001
431330003020100000
5221122310100041
610513023221344
71036605503362
oct157403102000
942560314331
1014966096896
11638aa76123
122a98147854
13154680864a
14a1d91ad32
155c8d69131
hex37c0c8400

14966096896 has 33 divisors (see below), whose sum is σ = 29925406191. Its totient is φ = 7481091072.

The previous prime is 14966096891. The next prime is 14966096933. The reversal of 14966096896 is 69869066941.

The square root of 14966096896 is 122336.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14966096891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3912841 + ... + 3916663.

Almost surely, 214966096896 is an apocalyptic number.

14966096896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14966096896 is the 122336-th square number.

It is an amenable number.

14966096896 is a deficient number, since it is larger than the sum of its proper divisors (14959309295).

14966096896 is an frugal number, since it uses more digits than its factorization.

14966096896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 64.

Multiplying 14966096896 by its sum of digits (64), we get a square (957830201344 = 9786882).

14966096896 divided by its sum of digits (64) gives a square (233845264 = 152922).

The spelling of 14966096896 in words is "fourteen billion, nine hundred sixty-six million, ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 3823 7646 15292 30584 61168 122336 244672 489344 978688 1957376 3914752 14615329 29230658 58461316 116922632 233845264 467690528 935381056 1870762112 3741524224 7483048448 14966096896