Search a number
-
+
11474749248 = 263975931039
BaseRepresentation
bin10101010111111001…
…01100011101000000
31002121200202122202220
422223330230131000
5142000013433443
65134343411040
7554232521304
oct125374543500
932550678686
1011474749248
114959218a46
122282a53a80
13110b3ab371
147abd71d04
154725baa83
hex2abf2c740

11474749248 has 112 divisors (see below), whose sum is σ = 30754563840. Its totient is φ = 3775463424.

The previous prime is 11474749241. The next prime is 11474749327. The reversal of 11474749248 is 84294747411.

It is a happy number.

11474749248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11474749248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11474749241) 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 15 ways as a sum of consecutive naturals, for example, 11043513 + ... + 11044551.

It is an arithmetic number, because the mean of its divisors is an integer number (274594320).

Almost surely, 211474749248 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 11474749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377281920).

11474749248 is an abundant number, since it is smaller than the sum of its proper divisors (19279814592).

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

11474749248 is a wasteful number, since it uses less digits than its factorization.

11474749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1734 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 11474749248 in words is "eleven billion, four hundred seventy-four million, seven hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 593 776 1039 1164 1186 1552 1779 2078 2328 2372 3104 3117 3558 4156 4656 4744 6208 6234 7116 8312 9312 9488 12468 14232 16624 18624 18976 24936 28464 33248 37952 49872 56928 57521 66496 99744 100783 113856 115042 172563 199488 201566 230084 302349 345126 403132 460168 604698 616127 690252 806264 920336 1209396 1232254 1380504 1612528 1840672 1848381 2418792 2464508 2761008 3225056 3681344 3696762 4837584 4929016 5522016 6450112 7393524 9675168 9858032 11044032 14787048 19350336 19716064 29574096 39432128 59148192 59764319 118296384 119528638 179292957 239057276 358585914 478114552 717171828 956229104 1434343656 1912458208 2868687312 3824916416 5737374624 11474749248