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12055341056 = 21111717537
BaseRepresentation
bin10110011101000110…
…11110100000000000
31011010011020210000012
423032203132200000
5144142131403211
65312123444052
7604512464633
oct131643364000
934104223005
1012055341056
115126a20190
122405386628
1311a1770005
14825105c1a
154a8552d8b
hex2ce8de800

12055341056 has 96 divisors (see below), whose sum is σ = 26670047040. Its totient is φ = 5401804800.

The previous prime is 12055341047. The next prime is 12055341091. The reversal of 12055341056 is 65014355021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1595720 + ... + 1603256.

It is an arithmetic number, because the mean of its divisors is an integer number (277812990).

Almost surely, 212055341056 is an apocalyptic number.

12055341056 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 12055341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335023520).

12055341056 is an abundant number, since it is smaller than the sum of its proper divisors (14614705984).

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

12055341056 is an equidigital number, since it uses as much as digits as its factorization.

12055341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 12055341056 its reverse (65014355021), we get a palindrome (77069696077).

The spelling of 12055341056 in words is "twelve billion, fifty-five million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 512 568 704 781 1024 1136 1408 1562 2048 2272 2816 3124 4544 5632 6248 7537 9088 11264 12496 15074 18176 22528 24992 30148 36352 49984 60296 72704 82907 99968 120592 145408 165814 199936 241184 331628 399872 482368 535127 663256 799744 964736 1070254 1326512 1599488 1929472 2140508 2653024 3858944 4281016 5306048 5886397 7717888 8562032 10612096 11772794 15435776 17124064 21224192 23545588 34248128 42448384 47091176 68496256 84896768 94182352 136992512 169793536 188364704 273985024 376729408 547970048 753458816 1095940096 1506917632 3013835264 6027670528 12055341056