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2112867744 = 253132314201
BaseRepresentation
bin111110111101111…
…1100110110100000
312110020201210122220
41331323330312200
513311343231434
6545354031040
7103234036161
oct17573746640
95406653586
102112867744
11994727899
124ab718480
13278974b00
14160879768
15c5759d49
hex7defcda0

2112867744 has 144 divisors (see below), whose sum is σ = 6200941824. Its totient is φ = 628992000.

The previous prime is 2112867739. The next prime is 2112867781. The reversal of 2112867744 is 4477682112.

It is a junction number, because it is equal to n+sod(n) for n = 2112867696 and 2112867705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500844 + ... + 505044.

It is an arithmetic number, because the mean of its divisors is an integer number (43062096).

Almost surely, 22112867744 is an apocalyptic number.

2112867744 is a gapful number since it is divisible by the number (24) 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 2112867744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100470912).

2112867744 is an abundant number, since it is smaller than the sum of its proper divisors (4088074080).

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

2112867744 is a wasteful number, since it uses less digits than its factorization.

2112867744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4250 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2112867744 is about 45965.9411303630. The cubic root of 2112867744 is about 1283.1894225014.

The spelling of 2112867744 in words is "two billion, one hundred twelve million, eight hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 169 186 208 248 312 338 372 403 416 496 507 624 676 744 806 992 1014 1209 1248 1352 1488 1612 2028 2418 2704 2976 3224 4056 4201 4836 5239 5408 6448 8112 8402 9672 10478 12603 12896 15717 16224 16804 19344 20956 25206 31434 33608 38688 41912 50412 54613 62868 67216 83824 100824 109226 125736 130231 134432 163839 167648 201648 218452 251472 260462 327678 390693 403296 436904 502944 520924 655356 709969 781386 873808 1041848 1310712 1419938 1562772 1693003 1747616 2083696 2129907 2621424 2839876 3125544 3386006 4167392 4259814 5079009 5242848 5679752 6251088 6772012 8519628 10158018 11359504 12502176 13544024 17039256 20316036 22009039 22719008 27088048 34078512 40632072 44018078 54176096 66027117 68157024 81264144 88036156 132054234 162528288 176072312 264108468 352144624 528216936 704289248 1056433872 2112867744