Search a number
-
+
11363040969921 = 3211236372
BaseRepresentation
bin1010010101011010101000…
…0001010100010011000001
31111020021222212021210022100
42211112222001110103001
52442133001442014141
640100035311301013
72251644514414134
oct245265201242301
944207885253270
1011363040969921
113691047436a53
12133629751a769
136456b7a0a514
142b3d8cd9a21b
1514a8a35540b6
hexa55aa0544c1

11363040969921 has 9 divisors (see below), whose sum is σ = 16413296008291. Its totient is φ = 7575353904792.

The previous prime is 11363040969901. The next prime is 11363040969983. The reversal of 11363040969921 is 12996904036311.

It is a happy number.

The square root of 11363040969921 is 3370911.

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

11363040969921 is a `hidden beast` number, since 113 + 6 + 30 + 409 + 6 + 9 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365619762225 + 10997421207696 = 604665^2 + 3316236^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11363040969921 - 29 = 11363040969409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11363040969901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9550915 + ... + 10674551.

Almost surely, 211363040969921 is an apocalyptic number.

11363040969921 is the 3370911-st square number.

11363040969921 is the 1685456-th centered octagonal number.

It is an amenable number.

11363040969921 is a deficient number, since it is larger than the sum of its proper divisors (5050255038370).

11363040969921 is an frugal number, since it uses more digits than its factorization.

11363040969921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247280 (or 1123640 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 11363040969921 in words is "eleven trillion, three hundred sixty-three billion, forty million, nine hundred sixty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 1123637 3370911 10112733 1262560107769 3787680323307 11363040969921