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11261053552 = 2472331831699
BaseRepresentation
bin10100111110011011…
…00000101001110000
31002001210122210101111
422133031200221300
5141030312203202
65101231243104
7546026242630
oct123715405160
932053583344
1011261053552
114859631231
122223379494
1310a603a2c8
1478b8266c0
1545d9586d7
hex29f360a70

11261053552 has 160 divisors (see below), whose sum is σ = 27198259200. Its totient is φ = 4410996480.

The previous prime is 11261053549. The next prime is 11261053603. The reversal of 11261053552 is 25535016211.

It is a super-2 number, since 2×112610535522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6627199 + ... + 6628897.

It is an arithmetic number, because the mean of its divisors is an integer number (169989120).

Almost surely, 211261053552 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 11261053552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599129600).

11261053552 is an abundant number, since it is smaller than the sum of its proper divisors (15937205648).

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

11261053552 is a wasteful number, since it uses less digits than its factorization.

11261053552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 11261053552 its reverse (25535016211), we get a palindrome (36796069763).

The spelling of 11261053552 in words is "eleven billion, two hundred sixty-one million, fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 83 92 112 124 161 166 184 217 248 322 332 368 434 496 581 644 664 713 868 1162 1288 1328 1426 1699 1736 1909 2324 2573 2576 2852 3398 3472 3818 4648 4991 5146 5704 6796 7636 9296 9982 10292 11408 11893 13363 13592 15272 18011 19964 20584 23786 26726 27184 30544 36022 39077 39928 41168 47572 52669 53452 59179 72044 78154 79856 95144 105338 106904 118358 141017 144088 156308 190288 210676 213808 236716 273539 282034 288176 312616 368683 414253 421352 473432 547078 564068 625232 737366 828506 842704 946864 987119 1094156 1128136 1211387 1474732 1657012 1974238 2188312 2256272 2422774 2949464 3243391 3314024 3948476 4371527 4376624 4845548 5898928 6486782 6628048 7896952 8479709 8743054 9691096 12973564 15793904 16959418 17486108 19382192 22703737 25947128 30600689 33918836 34972216 45407474 51894256 61201378 67837672 69944432 90814948 100545121 122402756 135675344 181629896 201090242 244805512 363259792 402180484 489611024 703815847 804360968 1407631694 1608721936 2815263388 5630526776 11261053552