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2601044112 = 243532101191
BaseRepresentation
bin1001101100001000…
…1100100010010000
320201021022201202010
42123002030202100
520311331402422
61110033222520
7121312336662
oct23302144220
96637281663
102601044112
111115248a37
12607101a40
13325b4a274
141a9634532
15103539b0c
hex9b08c890

2601044112 has 120 divisors (see below), whose sum is σ = 6952555008. Its totient is φ = 837824000.

The previous prime is 2601044107. The next prime is 2601044113. The reversal of 2601044112 is 2114401062.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2601044113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13617937 + ... + 13618127.

Almost surely, 22601044112 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 2601044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476277504).

2601044112 is an abundant number, since it is smaller than the sum of its proper divisors (4351510896).

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

2601044112 is a wasteful number, since it uses less digits than its factorization.

2601044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2601044112 is about 51000.4324687546. The cubic root of 2601044112 is about 1375.2529098640.

Adding to 2601044112 its reverse (2114401062), we get a palindrome (4715445174).

The spelling of 2601044112 in words is "two billion, six hundred one million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 101 106 159 191 202 212 303 318 382 404 424 573 606 636 764 808 848 1146 1212 1272 1528 1616 2292 2424 2544 2809 3056 4584 4848 5353 5618 8427 9168 10123 10706 11236 16059 16854 19291 20246 21412 22472 30369 32118 33708 38582 40492 42824 44944 57873 60738 64236 67416 77164 80984 85648 115746 121476 128472 134832 154328 161968 231492 242952 256944 283709 308656 462984 485904 536519 567418 851127 925968 1022423 1073038 1134836 1609557 1702254 2044846 2146076 2269672 3067269 3219114 3404508 4089692 4292152 4539344 6134538 6438228 6809016 8179384 8584304 12269076 12876456 13618032 16358768 24538152 25752912 49076304 54188419 108376838 162565257 216753676 325130514 433507352 650261028 867014704 1300522056 2601044112