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11690150641 = 13283172
BaseRepresentation
bin10101110001100100…
…11000101011110001
31010011201002011221021
422320302120223301
5142420134310031
65212000255441
7562456432561
oct127062305361
933151064837
1011690150641
114a59870224
122323011581
131143bc8900
147cc802da1
15486468511
hex2b8c98af1

11690150641 has 9 divisors (see below), whose sum is σ = 12660087681. Its totient is φ = 10789610832.

The previous prime is 11690150627. The next prime is 11690150669. The reversal of 11690150641 is 14605109611.

The square root of 11690150641 is 108121.

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

11690150641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 790790641 + 10899360000 = 28121^2 + 104400^2 .

It is not a de Polignac number, because 11690150641 - 225 = 11656596209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11690150597 and 11690150606.

It is not an unprimeable number, because it can be changed into a prime (11690150611) 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, 1401415 + ... + 1409731.

It is an arithmetic number, because the mean of its divisors is an integer number (1406676409).

Almost surely, 211690150641 is an apocalyptic number.

11690150641 is the 108121-st square number.

11690150641 is the 54061-st centered octagonal number.

It is an amenable number.

11690150641 is a deficient number, since it is larger than the sum of its proper divisors (969937040).

11690150641 is an frugal number, since it uses more digits than its factorization.

11690150641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16660 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11690150641 in words is "eleven billion, six hundred ninety million, one hundred fifty thousand, six hundred forty-one".

Divisors: 1 13 169 8317 108121 1405573 69172489 899242357 11690150641