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11292502896 = 243410979939
BaseRepresentation
bin10101000010001010…
…11110101101110000
31002010222211120210000
422201011132231300
5141111340043041
65104313310000
7546560455653
oct124105365560
932128746700
1011292502896
114875361624
122231a05300
1310ac6cbb9c
14791a9189a
154615bbbb6
hex2a115eb70

11292502896 has 100 divisors (see below), whose sum is σ = 32984043400. Its totient is φ = 3729587328.

The previous prime is 11292502891. The next prime is 11292502919. The reversal of 11292502896 is 69820529211.

It is a happy number.

11292502896 is a `hidden beast` number, since 112 + 9 + 250 + 289 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292502891) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101295 + ... + 181233.

It is an arithmetic number, because the mean of its divisors is an integer number (329840434).

Almost surely, 211292502896 is an apocalyptic number.

11292502896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11292502896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492021700).

11292502896 is an abundant number, since it is smaller than the sum of its proper divisors (21691540504).

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

11292502896 is a wasteful number, since it uses less digits than its factorization.

11292502896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80068 (or 80053 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11292502896 in words is "eleven billion, two hundred ninety-two million, five hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 79939 141264 159878 239817 319756 479634 639512 719451 959268 1279024 1438902 1918536 2158353 2877804 3837072 4316706 5755608 6475059 8633412 8713351 11511216 12950118 17266824 17426702 25900236 26140053 34533648 34853404 51800472 52280106 69706808 78420159 103600944 104560212 139413616 156840318 209120424 235260477 313680636 418240848 470520954 627361272 705781431 941041908 1254722544 1411562862 1882083816 2823125724 3764167632 5646251448 11292502896