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11640671350 = 25271110927739
BaseRepresentation
bin10101101011101011…
…01000110001110110
31010001020222101002221
422311311220301312
5142320002440400
65203031552554
7561316034230
oct126565506166
933036871087
1011640671350
114a33945750
12230a52b75a
131136893519
147c6003250
15481e42c1a
hex2b5d68c76

11640671350 has 96 divisors (see below), whose sum is σ = 27242899200. Its totient is φ = 3594844800.

The previous prime is 11640671303. The next prime is 11640671351. The reversal of 11640671350 is 5317604611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640671351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 405781 + ... + 433519.

It is an arithmetic number, because the mean of its divisors is an integer number (283780200).

Almost surely, 211640671350 is an apocalyptic number.

11640671350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11640671350 is an abundant number, since it is smaller than the sum of its proper divisors (15602227850).

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

11640671350 is a wasteful number, since it uses less digits than its factorization.

11640671350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27878 (or 27873 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 11640671350 in words is "eleven billion, six hundred forty million, six hundred seventy-one thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 109 110 154 175 218 275 350 385 545 550 763 770 1090 1199 1526 1925 2398 2725 3815 3850 5450 5995 7630 8393 11990 16786 19075 27739 29975 38150 41965 55478 59950 83930 138695 194173 209825 277390 305129 388346 419650 610258 693475 970865 1386950 1525645 1941730 2135903 3023551 3051290 4271806 4854325 6047102 7628225 9708650 10679515 15117755 15256450 21164857 21359030 30235510 33259061 42329714 53397575 66518122 75588775 105824285 106795150 151177550 166295305 211648570 232813427 332590610 465626854 529121425 831476525 1058242850 1164067135 1662953050 2328134270 5820335675 11640671350