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2466002112 = 26374993677
BaseRepresentation
bin1001001011111100…
…0011010011000000
320100212012212221120
42102333003103000
520022244031422
61044410552240
7115052446350
oct22277032300
96325185846
102466002112
111055aa2982
12589a38680
13303b87862
14195720b60
15e676245c
hex92fc34c0

2466002112 has 112 divisors (see below), whose sum is σ = 7473696000. Its totient is φ = 702968832.

The previous prime is 2466002111. The next prime is 2466002117. The reversal of 2466002112 is 2112006642.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2466002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668818 + ... + 672494.

Almost surely, 22466002112 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 2466002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736848000).

2466002112 is an abundant number, since it is smaller than the sum of its proper divisors (5007693888).

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

2466002112 is a wasteful number, since it uses less digits than its factorization.

2466002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2466002112 is about 49658.8573368337. The cubic root of 2466002112 is about 1351.0284092417.

Adding to 2466002112 its reverse (2112006642), we get a palindrome (4578008754).

The spelling of 2466002112 in words is "two billion, four hundred sixty-six million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 499 672 998 1344 1497 1996 2994 3493 3677 3992 5988 6986 7354 7984 10479 11031 11976 13972 14708 15968 20958 22062 23952 25739 27944 29416 31936 41916 44124 47904 51478 55888 58832 77217 83832 88248 95808 102956 111776 117664 154434 167664 176496 205912 223552 235328 308868 335328 352992 411824 617736 670656 705984 823648 1235472 1647296 1834823 2470944 3669646 4941888 5504469 7339292 11008938 12843761 14678584 22017876 25687522 29357168 38531283 44035752 51375044 58714336 77062566 88071504 102750088 117428672 154125132 176143008 205500176 308250264 352286016 411000352 616500528 822000704 1233001056 2466002112