Search a number
-
+
11007413469 = 3213191272307
BaseRepresentation
bin10100100000001011…
…11100110011011101
31001102010101112121100
422100011330303131
5140020344212334
65020131023313
7536526320313
oct122005746335
931363345540
1011007413469
114739441728
12217243ab39
131065621b10
14765c800b3
15446555c99
hex29017ccdd

11007413469 has 72 divisors (see below), whose sum is σ = 18226047840. Its totient is φ = 6346009152.

The previous prime is 11007413441. The next prime is 11007413471. The reversal of 11007413469 is 96431470011.

11007413469 is a `hidden beast` number, since 110 + 0 + 74 + 13 + 469 = 666.

11007413469 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11007413469 - 216 = 11007347933 is a prime.

It is a super-2 number, since 2×110074134692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007413369) 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 71 ways as a sum of consecutive naturals, for example, 35854614 + ... + 35854920.

Almost surely, 211007413469 is an apocalyptic number.

11007413469 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11007413469 is a deficient number, since it is larger than the sum of its proper divisors (7218634371).

11007413469 is a wasteful number, since it uses less digits than its factorization.

11007413469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11007413469 in words is "eleven billion, seven million, four hundred thirteen thousand, four hundred sixty-nine".

Divisors: 1 3 9 13 19 39 57 117 127 171 247 307 381 741 921 1143 1651 2223 2413 2763 3991 4953 5833 7239 11973 14859 16129 17499 21717 31369 35919 38989 48387 52497 75829 94107 116967 145161 209677 227487 282321 306451 350901 506857 629031 682461 740791 919353 1520571 1887093 2222373 2758059 3983863 4561713 4951603 6667119 9630283 11951589 14854809 28890849 35854767 44564427 64370839 86672547 94080457 193112517 282241371 579337551 846724113 1223045941 3669137823 11007413469