Search a number
-
+
19769457968928 = 253268643951281
BaseRepresentation
bin1000111111010111011111…
…00001010000011100100000
32120222221102111221212221100
410133223233201100130200
510042400322220001203
6110013544050154400
74110203412054333
oct437535741203440
976887374855840
1019769457968928
1163321a86a8948
122273553582a00
13b0533751c535
144c4bbdb5861a
152443b041aea3
hex11faef850720

19769457968928 has 36 divisors (see below), whose sum is σ = 56219396099958. Its totient is φ = 6589819322880.

The previous prime is 19769457968927. The next prime is 19769457968933. The reversal of 19769457968928 is 82986975496791.

19769457968928 is a `hidden beast` number, since 1 + 9 + 7 + 6 + 9 + 4 + 579 + 6 + 8 + 9 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17095016390544 + 2674441578384 = 4134612^2 + 1635372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (19769457968927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34321975353 + ... + 34321975928.

Almost surely, 219769457968928 is an apocalyptic number.

19769457968928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19769457968928 is an abundant number, since it is smaller than the sum of its proper divisors (36449938131030).

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

19769457968928 is a wasteful number, since it uses less digits than its factorization.

19769457968928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68643951297 (or 68643951286 counting only the distinct ones).

The product of its digits is 29628426240, while the sum is 90.

The spelling of 19769457968928 in words is "nineteen trillion, seven hundred sixty-nine billion, four hundred fifty-seven million, nine hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 68643951281 137287902562 205931853843 274575805124 411863707686 549151610248 617795561529 823727415372 1098303220496 1235591123058 1647454830744 2196606440992 2471182246116 3294909661488 4942364492232 6589819322976 9884728984464 19769457968928