Search a number
-
+
11245141176 = 2334167281607
BaseRepresentation
bin10100111100100001…
…10011110010111000
31002000200201100201020
422132100303302320
5141012224004201
65055502222440
7545444060103
oct123620636270
932020640636
1011245141176
114850653005
122219b84a20
1310a29585b9
1478968373a
1545c363a36
hex29e433cb8

11245141176 has 128 divisors (see below), whose sum is σ = 29380700160. Its totient is φ = 3583641600.

The previous prime is 11245141169. The next prime is 11245141177. The reversal of 11245141176 is 67114154211.

11245141176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245141177) 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 31 ways as a sum of consecutive naturals, for example, 18525465 + ... + 18526071.

It is an arithmetic number, because the mean of its divisors is an integer number (229536720).

Almost surely, 211245141176 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 11245141176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14690350080).

11245141176 is an abundant number, since it is smaller than the sum of its proper divisors (18135558984).

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

11245141176 is a wasteful number, since it uses less digits than its factorization.

11245141176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

Adding to 11245141176 its reverse (67114154211), we get a palindrome (78359295387).

The spelling of 11245141176 in words is "eleven billion, two hundred forty-five million, one hundred forty-one thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 41 67 82 123 134 164 201 246 268 281 328 402 492 536 562 607 804 843 984 1124 1214 1608 1686 1821 2248 2428 2747 3372 3642 4856 5494 6744 7284 8241 10988 11521 14568 16482 18827 21976 23042 24887 32964 34563 37654 40669 46084 49774 56481 65928 69126 74661 75308 81338 92168 99548 112962 122007 138252 149322 150616 162676 170567 199096 225924 244014 276504 298644 325352 341134 451848 488028 511701 597288 682268 771907 976056 1023402 1364536 1543814 1667429 2046804 2315721 3087628 3334858 4093608 4631442 5002287 6175256 6669716 6993247 9262884 10004574 11427989 13339432 13986494 18525768 20009148 20979741 22855978 27972988 34283967 40018296 41959482 45711956 55945976 68567934 83918964 91423912 137135868 167837928 274271736 468547549 937095098 1405642647 1874190196 2811285294 3748380392 5622570588 11245141176