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11361122256 = 24311128916693
BaseRepresentation
bin10101001010010110…
…01111011111010000
31002022202221210211210
422211023033133100
5141231421403011
65115204140120
7551352642261
oct124513173720
932282853753
1011361122256
11490006a340
122250997640
1310c09a6163
1479ac34968
154676236a6
hex2a52cf7d0

11361122256 has 80 divisors (see below), whose sum is σ = 32044466880. Its totient is φ = 3439887360.

The previous prime is 11361122249. The next prime is 11361122261. The reversal of 11361122256 is 65222116311.

It is a congruent number.

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, 672246 + ... + 688938.

It is an arithmetic number, because the mean of its divisors is an integer number (400555836).

Almost surely, 211361122256 is an apocalyptic number.

11361122256 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 11361122256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022233440).

11361122256 is an abundant number, since it is smaller than the sum of its proper divisors (20683344624).

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

11361122256 is a wasteful number, since it uses less digits than its factorization.

11361122256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18004 (or 17998 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

Adding to 11361122256 its reverse (65222116311), we get a palindrome (76583238567).

The spelling of 11361122256 in words is "eleven billion, three hundred sixty-one million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1289 2578 3867 5156 7734 10312 14179 15468 16693 20624 28358 30936 33386 42537 50079 56716 61872 66772 85074 100158 113432 133544 170148 183623 200316 226864 267088 340296 367246 400632 550869 680592 734492 801264 1101738 1468984 2203476 2937968 4406952 8813904 21517277 43034554 64551831 86069108 129103662 172138216 236690047 258207324 344276432 473380094 516414648 710070141 946760188 1032829296 1420140282 1893520376 2840280564 3787040752 5680561128 11361122256