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2643516340 = 225132175817
BaseRepresentation
bin1001110110010000…
…1101101110110100
320211020020112200121
42131210031232310
520403220010330
61114151421324
7122336342503
oct23544155664
96736215617
102643516340
111137217a53
12619384844
1333189b16a
141b112c83a
1510712917a
hex9d90dbb4

2643516340 has 12 divisors (see below), whose sum is σ = 5551384356. Its totient is φ = 1057406528.

The previous prime is 2643516331. The next prime is 2643516347. The reversal of 2643516340 is 436153462.

It can be written as a sum of positive squares in 2 ways, for example, as 1373591844 + 1269924496 = 37062^2 + 35636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2643516296 and 2643516305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643516347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66087889 + ... + 66087928.

It is an arithmetic number, because the mean of its divisors is an integer number (462615363).

Almost surely, 22643516340 is an apocalyptic number.

2643516340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2643516340 is an abundant number, since it is smaller than the sum of its proper divisors (2907868016).

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

2643516340 is a wasteful number, since it uses less digits than its factorization.

2643516340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132175826 (or 132175824 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2643516340 is about 51415.1372652062. The cubic root of 2643516340 is about 1382.6979949187.

The spelling of 2643516340 in words is "two billion, six hundred forty-three million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 132175817 264351634 528703268 660879085 1321758170 2643516340