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11520055456 = 2571316723689
BaseRepresentation
bin10101011101010011…
…00001100010100000
31002201212000110012121
422232221201202200
5142043113233311
65143042434024
7555322566340
oct125651414240
932655013177
1011520055456
114981853198
122296062914
1311178b2180
147b3da6d20
15476569b71
hex2aea618a0

11520055456 has 96 divisors (see below), whose sum is σ = 28082315520. Its totient is φ = 4529903616.

The previous prime is 11520055427. The next prime is 11520055489. The reversal of 11520055456 is 65455002511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474460 + ... + 498148.

It is an arithmetic number, because the mean of its divisors is an integer number (292524120).

Almost surely, 211520055456 is an apocalyptic number.

11520055456 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 11520055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041157760).

11520055456 is an abundant number, since it is smaller than the sum of its proper divisors (16562260064).

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

11520055456 is a wasteful number, since it uses less digits than its factorization.

11520055456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23886 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

Adding to 11520055456 its reverse (65455002511), we get a palindrome (76975057967).

The spelling of 11520055456 in words is "eleven billion, five hundred twenty million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 167 182 208 224 334 364 416 668 728 1169 1336 1456 2171 2338 2672 2912 4342 4676 5344 8684 9352 15197 17368 18704 23689 30394 34736 37408 47378 60788 69472 94756 121576 165823 189512 243152 307957 331646 379024 486304 615914 663292 758048 1231828 1326584 2155699 2463656 2653168 3956063 4311398 4927312 5306336 7912126 8622796 9854624 15824252 17245592 27692441 31648504 34491184 51428819 55384882 63297008 68982368 102857638 110769764 126594016 205715276 221539528 360001733 411430552 443079056 720003466 822861104 886158112 1440006932 1645722208 2880013864 5760027728 11520055456