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2513261340 = 2232513962563
BaseRepresentation
bin1001010111001101…
…0101001100011100
320111011010220102100
42111303111030130
520121343330330
61053215525100
7116165240352
oct22563251434
96434126370
102513261340
11107a741497
125a1829790
133108c35b5
1419bb037d2
15ea99a060
hex95cd531c

2513261340 has 36 divisors (see below), whose sum is σ = 7623559944. Its totient is φ = 670202976.

The previous prime is 2513261279. The next prime is 2513261389. The reversal of 2513261340 is 431623152.

2513261340 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 2 + 613 + 40 = 666.

2513261340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6981102 + ... + 6981461.

It is an arithmetic number, because the mean of its divisors is an integer number (211765554).

Almost surely, 22513261340 is an apocalyptic number.

2513261340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513261340 is an abundant number, since it is smaller than the sum of its proper divisors (5110298604).

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

2513261340 is a wasteful number, since it uses less digits than its factorization.

2513261340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13962578 (or 13962573 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2513261340 is about 50132.4380017569. The cubic root of 2513261340 is about 1359.6043651658.

Adding to 2513261340 its reverse (431623152), we get a palindrome (2944884492).

The spelling of 2513261340 in words is "two billion, five hundred thirteen million, two hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13962563 27925126 41887689 55850252 69812815 83775378 125663067 139625630 167550756 209438445 251326134 279251260 418876890 502652268 628315335 837753780 1256630670 2513261340