Search a number
-
+
11680296048 = 2432112372229
BaseRepresentation
bin10101110000011001…
…10010110001110000
31010011000112111222100
422320030302301300
5142410123433143
65211005140400
7562306610151
oct127014626160
933130474870
1011680296048
114a5424a333
12231b85a700
131141b582a5
147cb399928
1548566d6d3
hex2b8332c70

11680296048 has 60 divisors (see below), whose sum is σ = 32718167560. Its totient is φ = 3889911168.

The previous prime is 11680295989. The next prime is 11680296077. The reversal of 11680296048 is 84069208611.

11680296048 is a `hidden beast` number, since 1 + 16 + 8 + 0 + 29 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11680295994 and 11680296012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125598 + ... + 197826.

Almost surely, 211680296048 is an apocalyptic number.

11680296048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11680296048 is an abundant number, since it is smaller than the sum of its proper divisors (21037871512).

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

11680296048 is a wasteful number, since it uses less digits than its factorization.

11680296048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73366 (or 73357 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11680296048 in words is "eleven billion, six hundred eighty million, two hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 40428 53904 72229 80856 144458 161712 216687 288916 433374 577832 650061 866748 1155664 1300122 1733496 2600244 3466992 5200488 10400976 81113167 162226334 243339501 324452668 486679002 648905336 730018503 973358004 1297810672 1460037006 1946716008 2920074012 3893432016 5840148024 11680296048