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11096000832 = 263718145613
BaseRepresentation
bin10100101010101111…
…11000100101000000
31001122022002020121210
422111113320211000
5140211034011312
65033013450120
7541653310440
oct122527704500
931568066553
1011096000832
114784448724
122198040940
13107aa9aa87
14773940120
1544e203e3c
hex2955f8940

11096000832 has 112 divisors (see below), whose sum is σ = 33738303872. Its totient is φ = 3152701440.

The previous prime is 11096000807. The next prime is 11096000891. The reversal of 11096000832 is 23800069011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11096000832.

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, 220458 + ... + 266070.

It is an arithmetic number, because the mean of its divisors is an integer number (301234856).

Almost surely, 211096000832 is an apocalyptic number.

11096000832 is a gapful number since it is divisible by the number (12) 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 11096000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869151936).

11096000832 is an abundant number, since it is smaller than the sum of its proper divisors (22642303040).

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

11096000832 is a wasteful number, since it uses less digits than its factorization.

11096000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45816 (or 45806 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 11096000832 its reverse (23800069011), we get a palindrome (34896069843).

The spelling of 11096000832 in words is "eleven billion, ninety-six million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 181 192 224 336 362 448 543 672 724 1086 1267 1344 1448 2172 2534 2896 3801 4344 5068 5792 7602 8688 10136 11584 15204 17376 20272 30408 34752 40544 45613 60816 81088 91226 121632 136839 182452 243264 273678 319291 364904 547356 638582 729808 957873 1094712 1277164 1459616 1915746 2189424 2554328 2919232 3831492 4378848 5108656 7662984 8255953 8757696 10217312 15325968 16511906 20434624 24767859 30651936 33023812 49535718 57791671 61303872 66047624 99071436 115583342 132095248 173375013 198142872 231166684 264190496 346750026 396285744 462333368 528380992 693500052 792571488 924666736 1387000104 1585142976 1849333472 2774000208 3698666944 5548000416 11096000832