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2481110112 = 2531310191951
BaseRepresentation
bin1001001111100010…
…1011110001100000
320101220122110020010
42103320223301200
520040131010422
61050110444520
7115325042115
oct22370536140
96356573203
102481110112
111063581828
12592b03740
133070473c0
1419773490c
15e7c48b0c
hex93e2bc60

2481110112 has 96 divisors (see below), whose sum is σ = 7024389120. Its totient is φ = 762278400.

The previous prime is 2481110089. The next prime is 2481110153. The reversal of 2481110112 is 2110111842.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1270737 + ... + 1272687.

It is an arithmetic number, because the mean of its divisors is an integer number (73170720).

Almost surely, 22481110112 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 2481110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512194560).

2481110112 is an abundant number, since it is smaller than the sum of its proper divisors (4543279008).

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

2481110112 is a wasteful number, since it uses less digits than its factorization.

2481110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 2481110112 is about 49810.7429376435. The cubic root of 2481110112 is about 1353.7818260572.

Adding to 2481110112 its reverse (2110111842), we get a palindrome (4591221954).

The spelling of 2481110112 in words is "two billion, four hundred eighty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1019 1248 1951 2038 3057 3902 4076 5853 6114 7804 8152 11706 12228 13247 15608 16304 23412 24456 25363 26494 31216 32608 39741 46824 48912 50726 52988 62432 76089 79482 93648 97824 101452 105976 152178 158964 187296 202904 211952 304356 317928 405808 423904 608712 635856 811616 1217424 1271712 1988069 2434848 3976138 5964207 7952276 11928414 15904552 23856828 25844897 31809104 47713656 51689794 63618208 77534691 95427312 103379588 155069382 190854624 206759176 310138764 413518352 620277528 827036704 1240555056 2481110112