Search a number
-
+
11159234215936 = 216130492
BaseRepresentation
bin1010001001100011011000…
…1100010000000000000000
31110111210221012220222001121
42202120312030100000000
52430313102424402221
635422251553242024
72231141140531042
oct242306614200000
943453835828047
1011159234215936
113612671881184
121302898b63314
1362c407b2a9c1
142a81774a9a92
15145425ccca41
hexa2636310000

11159234215936 has 51 divisors (see below), whose sum is σ = 22320008632021. Its totient is φ = 5579189518336.

The previous prime is 11159234215919. The next prime is 11159234215937. The reversal of 11159234215936 is 63951243295111.

The square root of 11159234215936 is 3340544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6357175566336 + 4802058649600 = 2521344^2 + 2191360^2 .

It is a super-2 number, since 2×111592342159362 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11159234215937) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 855172740 + ... + 855185788.

Almost surely, 211159234215936 is an apocalyptic number.

11159234215936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11159234215936 is the 3340544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11159234215936

11159234215936 is an abundant number, since it is smaller than the sum of its proper divisors (11160774416085).

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

11159234215936 is an frugal number, since it uses more digits than its factorization.

11159234215936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26130 (or 13051 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 52.

The spelling of 11159234215936 in words is "eleven trillion, one hundred fifty-nine billion, two hundred thirty-four million, two hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 13049 16384 26098 32768 52196 65536 104392 208784 417568 835136 1670272 3340544 6681088 13362176 26724352 53448704 106897408 170276401 213794816 340552802 427589632 681105604 855179264 1362211208 2724422416 5448844832 10897689664 21795379328 43590758656 87181517312 174363034624 348726069248 697452138496 1394904276992 2789808553984 5579617107968 11159234215936