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2545114242 = 23113421757
BaseRepresentation
bin1001011110110011…
…0101110010000010
320120101002012101110
42113230311302002
520203022123432
61100314344150
7120033054066
oct22754656202
96511065343
102545114242
111096718000
125b042b056
13317396a78
141a2035aa6
15ed68cdcc
hex97b35c82

2545114242 has 64 divisors (see below), whose sum is σ = 5619581568. Its totient is φ = 768398400.

The previous prime is 2545114223. The next prime is 2545114279. The reversal of 2545114242 is 2424115452.

2545114242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361728 + ... + 3362484.

It is an arithmetic number, because the mean of its divisors is an integer number (87805962).

Almost surely, 22545114242 is an apocalyptic number.

2545114242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545114242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809790784).

2545114242 is an abundant number, since it is smaller than the sum of its proper divisors (3074467326).

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

2545114242 is a wasteful number, since it uses less digits than its factorization.

2545114242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1194 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2545114242 is about 50449.1252847857. The cubic root of 2545114242 is about 1365.3241130815.

Adding to 2545114242 its reverse (2424115452), we get a palindrome (4969229694).

It can be divided in two parts, 25451 and 14242, that added together give a palindrome (39693).

The spelling of 2545114242 in words is "two billion, five hundred forty-five million, one hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 421 726 757 842 1263 1331 1514 2271 2526 2662 3993 4542 4631 7986 8327 9262 13893 16654 24981 27786 49962 50941 91597 101882 152823 183194 274791 305646 318697 549582 560351 637394 956091 1007567 1120702 1681053 1912182 2015134 3022701 3362106 3505667 6045402 7011334 10517001 21034002 38562337 77124674 115687011 231374022 424185707 848371414 1272557121 2545114242