Search a number
-
+
11269520964 = 223213213612
BaseRepresentation
bin10100111111011011…
…10011111001000100
31002002101120222111100
422133231303321010
5141034444132324
65102132540100
7546161230152
oct123755637104
932071528440
1011269520964
114863394999
122226181630
1310a7a13400
1478c9cc3d2
1545e57c4c9
hex29fb73e44

11269520964 has 81 divisors (see below), whose sum is σ = 30869382999. Its totient is φ = 3464997120.

The previous prime is 11269520957. The next prime is 11269520987. The reversal of 11269520964 is 46902596211.

The square root of 11269520964 is 106158.

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

11269520964 is a `hidden beast` number, since 1 + 1 + 2 + 69 + 520 + 9 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5249002500 + 6020518464 = 72450^2 + 77592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8279644 + ... + 8281004.

Almost surely, 211269520964 is an apocalyptic number.

11269520964 is the 106158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11269520964

11269520964 is an abundant number, since it is smaller than the sum of its proper divisors (19599862035).

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

11269520964 is a wasteful number, since it uses less digits than its factorization.

11269520964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11269520964 in words is "eleven billion, two hundred sixty-nine million, five hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1361 1521 2028 2722 3042 4083 5444 6084 8166 12249 16332 17693 24498 35386 48996 53079 70772 106158 159237 212316 230009 318474 460018 636948 690027 920036 1380054 1852321 2070081 2760108 3704642 4140162 5556963 7409284 8280324 11113926 16670889 22227852 24080173 33341778 48160346 66683556 72240519 96320692 144481038 216721557 288962076 313042249 433443114 626084498 866886228 939126747 1252168996 1878253494 2817380241 3756506988 5634760482 11269520964