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11411435256 = 2331366155333
BaseRepresentation
bin10101010000010110…
…01010111011111000
31002110021121222022020
422220023022323320
5141332311412011
65124202354440
7552533412354
oct125013127370
932407558266
1011411435256
114926504231
1222657bba20
1310cb240b70
147a37b0464
1546bc61006
hex2a82caef8

11411435256 has 64 divisors (see below), whose sum is σ = 30770130720. Its totient is φ = 3505835520.

The previous prime is 11411435239. The next prime is 11411435279. The reversal of 11411435256 is 65253411411.

11411435256 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 178566 + ... + 233898.

Almost surely, 211411435256 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 11411435256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385065360).

11411435256 is an abundant number, since it is smaller than the sum of its proper divisors (19358695464).

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

11411435256 is a wasteful number, since it uses less digits than its factorization.

11411435256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56016 (or 56012 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

Adding to 11411435256 its reverse (65253411411), we get a palindrome (76664846667).

The spelling of 11411435256 in words is "eleven billion, four hundred eleven million, four hundred thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 661 1322 1983 2644 3966 5288 7932 8593 15864 17186 25779 34372 51558 55333 68744 103116 110666 165999 206232 221332 331998 442664 663996 719329 1327992 1438658 2157987 2877316 4315974 5754632 8631948 17263896 36575113 73150226 109725339 146300452 219450678 292600904 438901356 475476469 877802712 950952938 1426429407 1901905876 2852858814 3803811752 5705717628 11411435256