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2640689046 = 233193677013
BaseRepresentation
bin1001110101100101…
…1011011110010110
320211000220220101000
42131121123132112
520402004022141
61114011044130
7122303325612
oct23531333626
96730826330
102640689046
111135666846
12618440646
1333111b2c8
141b09d4342
15106c6b5b6
hex9d65b796

2640689046 has 64 divisors (see below), whose sum is σ = 6194764800. Its totient is φ = 831511008.

The previous prime is 2640689011. The next prime is 2640689063. The reversal of 2640689046 is 6409860462.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2640688992 and 2640689010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373036 + ... + 380048.

It is an arithmetic number, because the mean of its divisors is an integer number (96793200).

Almost surely, 22640689046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640689046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097382400).

2640689046 is an abundant number, since it is smaller than the sum of its proper divisors (3554075754).

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

2640689046 is a wasteful number, since it uses less digits than its factorization.

2640689046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2640689046 is about 51387.6351469884. The cubic root of 2640689046 is about 1382.2048779538.

The spelling of 2640689046 in words is "two billion, six hundred forty million, six hundred eighty-nine thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 367 513 734 1026 1101 2202 3303 6606 6973 7013 9909 13946 14026 19818 20919 21039 41838 42078 62757 63117 125514 126234 133247 188271 189351 266494 376542 378702 399741 799482 1199223 2398446 2573771 3597669 5147542 7195338 7721313 15442626 23163939 46327878 48901649 69491817 97803298 138983634 146704947 293409894 440114841 880229682 1320344523 2640689046