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11525316160 = 265281128173
BaseRepresentation
bin10101011101111011…
…00101111001000000
31002202012220201112111
422232331211321000
5142100440104120
65143351305104
7555415366561
oct125675457100
932665821474
1011525316160
114984816686
12229797b194
131118a04807
147b4976168
15476c5875a
hex2aef65e40

11525316160 has 56 divisors (see below), whose sum is σ = 27542541816. Its totient is φ = 4593684480.

The previous prime is 11525316157. The next prime is 11525316163. The reversal of 11525316160 is 6161352511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11525316157) and next prime (11525316163).

It can be written as a sum of positive squares in 4 ways, for example, as 5883503616 + 5641812544 = 76704^2 + 75112^2 .

It is not an unprimeable number, because it can be changed into a prime (11525316163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25834 + ... + 154006.

Almost surely, 211525316160 is an apocalyptic number.

11525316160 is a gapful number since it is divisible by the number (10) 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 11525316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771270908).

11525316160 is an abundant number, since it is smaller than the sum of its proper divisors (16017225656).

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

11525316160 is a wasteful number, since it uses less digits than its factorization.

11525316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128471 (or 128461 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 11525316160 its reverse (6161352511), we get a palindrome (17686668671).

The spelling of 11525316160 in words is "eleven billion, five hundred twenty-five million, three hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 281 320 562 1124 1405 2248 2810 4496 5620 8992 11240 17984 22480 44960 89920 128173 256346 512692 640865 1025384 1281730 2050768 2563460 4101536 5126920 8203072 10253840 20507680 36016613 41015360 72033226 144066452 180083065 288132904 360166130 576265808 720332260 1152531616 1440664520 2305063232 2881329040 5762658080 11525316160