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2142358768 = 2411176710687
BaseRepresentation
bin111111110110001…
…1100110011110000
312112022020002202001
41333230130303300
513341420440033
6552330103344
7104042514634
oct17754346360
95468202661
102142358768
119aa33a940
124b957ab54
13281acc214
14164754dc4
15c8132e7d
hex7fb1ccf0

2142358768 has 80 divisors (see below), whose sum is σ = 4866545664. Its totient is φ = 902753280.

The previous prime is 2142358763. The next prime is 2142358787. The reversal of 2142358768 is 8678532412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142358763) 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 15 ways as a sum of consecutive naturals, for example, 195121 + ... + 205807.

Almost surely, 22142358768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142358768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433272832).

2142358768 is an abundant number, since it is smaller than the sum of its proper divisors (2724186896).

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

2142358768 is a wasteful number, since it uses less digits than its factorization.

2142358768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10784 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 2142358768 is about 46285.6216119002. The cubic root of 2142358768 is about 1289.1320339585.

The spelling of 2142358768 in words is "two billion, one hundred forty-two million, three hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 67 68 88 134 136 176 187 268 272 374 536 737 748 1072 1139 1474 1496 2278 2948 2992 4556 5896 9112 10687 11792 12529 18224 21374 25058 42748 50116 85496 100232 117557 170992 181679 200464 235114 363358 470228 716029 726716 940456 1432058 1453432 1880912 1998469 2864116 2906864 3996938 5728232 7876319 7993876 11456464 12172493 15752638 15987752 24344986 31505276 31975504 48689972 63010552 97379944 126021104 133897423 194759888 267794846 535589692 1071179384 2142358768