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2151651680 = 25519967577
BaseRepresentation
bin1000000000111111…
…1001100101100000
312112221201020012222
42000033321211200
513401310323210
6553301210212
7104214510653
oct20017714540
95487636188
102151651680
11a04607832
12500700968
13283a03c99
14165a9389a
15c8d6b655
hex803f9960

2151651680 has 48 divisors (see below), whose sum is σ = 5108896800. Its totient is φ = 856323072.

The previous prime is 2151651661. The next prime is 2151651701. The reversal of 2151651680 is 861561512.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2151651680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949 + ... + 65628.

It is an arithmetic number, because the mean of its divisors is an integer number (106435350).

Almost surely, 22151651680 is an apocalyptic number.

2151651680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554448400).

2151651680 is an abundant number, since it is smaller than the sum of its proper divisors (2957245120).

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

2151651680 is a wasteful number, since it uses less digits than its factorization.

2151651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67791 (or 67783 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 2151651680 is about 46385.8995816617. The cubic root of 2151651680 is about 1290.9933018229.

The spelling of 2151651680 in words is "two billion, one hundred fifty-one million, six hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 6368 7960 15920 31840 67577 135154 270308 337885 540616 675770 1081232 1351540 2162464 2703080 5406160 10812320 13447823 26895646 53791292 67239115 107582584 134478230 215165168 268956460 430330336 537912920 1075825840 2151651680