Search a number
-
+
11809496928 = 253292146273
BaseRepresentation
bin10101111111110011…
…01001111101100000
31010111000122121021010
422333321221331200
5143141212400203
65231502300520
7565436032125
oct127771517540
933430577233
1011809496928
115010175919
122356b87740
131162854108
148005cc74c
15491b90303
hex2bfe69f60

11809496928 has 72 divisors (see below), whose sum is σ = 32105972808. Its totient is φ = 3800731648.

The previous prime is 11809496921. The next prime is 11809496977. The reversal of 11809496928 is 82969490811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11809496921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7600 + ... + 153872.

It is an arithmetic number, because the mean of its divisors is an integer number (445916289).

Almost surely, 211809496928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11809496928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052986404).

11809496928 is an abundant number, since it is smaller than the sum of its proper divisors (20296475880).

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

11809496928 is a wasteful number, since it uses less digits than its factorization.

11809496928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146344 (or 146307 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The spelling of 11809496928 in words is "eleven billion, eight hundred nine million, four hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 841 928 1392 1682 2523 2784 3364 5046 6728 10092 13456 20184 26912 40368 80736 146273 292546 438819 585092 877638 1170184 1755276 2340368 3510552 4241917 4680736 7021104 8483834 12725751 14042208 16967668 25451502 33935336 50903004 67870672 101806008 123015593 135741344 203612016 246031186 369046779 407224032 492062372 738093558 984124744 1476187116 1968249488 2952374232 3936498976 5904748464 11809496928