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2499108144 = 2431322917489
BaseRepresentation
bin1001010011110101…
…0101110100110000
320110011111211212220
42110331111310300
520104232430034
61051552321040
7115634032401
oct22475256460
96404454786
102499108144
111072754a35
12598b43180
1330a9a9520
14199c9b9a8
15e9601749
hex94f55d30

2499108144 has 80 divisors (see below), whose sum is σ = 6983407200. Its totient is φ = 765554688.

The previous prime is 2499108119. The next prime is 2499108151. The reversal of 2499108144 is 4418019942.

It is a happy number.

2499108144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2499108096 and 2499108105.

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, 134152 + ... + 151640.

It is an arithmetic number, because the mean of its divisors is an integer number (87292590).

Almost surely, 22499108144 is an apocalyptic number.

2499108144 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 2499108144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491703600).

2499108144 is an abundant number, since it is smaller than the sum of its proper divisors (4484299056).

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

2499108144 is a wasteful number, since it uses less digits than its factorization.

2499108144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17742 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2499108144 is about 49991.0806444510. The cubic root of 2499108144 is about 1357.0473977928.

The spelling of 2499108144 in words is "two billion, four hundred ninety-nine million, one hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 229 312 458 624 687 916 1374 1832 2748 2977 3664 5496 5954 8931 10992 11908 17489 17862 23816 34978 35724 47632 52467 69956 71448 104934 139912 142896 209868 227357 279824 419736 454714 682071 839472 909428 1364142 1818856 2728284 3637712 4004981 5456568 8009962 10913136 12014943 16019924 24029886 32039848 48059772 52064753 64079696 96119544 104129506 156194259 192239088 208259012 312388518 416518024 624777036 833036048 1249554072 2499108144