Search a number
-
+
16270000000 = 27571627
BaseRepresentation
bin11110010011100010…
…00111111110000000
31112222212212122011121
433021301013332000
5231310110000000
611250242322024
71114120501222
oct171161077600
945885778147
1016270000000
116999a998a1
1231a0959314
1316c39ac047
14b04b76412
1565357ab1a
hex3c9c47f80

16270000000 has 128 divisors (see below), whose sum is σ = 40540911840. Its totient is φ = 6504000000.

The previous prime is 16269999997. The next prime is 16270000003. The reversal of 16270000000 is 7261.

16270000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16269999997) and next prime (16270000003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16270000003) 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 15 ways as a sum of consecutive naturals, for example, 9999187 + ... + 10000813.

Almost surely, 216270000000 is an apocalyptic number.

16270000000 is a gapful number since it is divisible by the number (10) 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 16270000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270455920).

16270000000 is an abundant number, since it is smaller than the sum of its proper divisors (24270911840).

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

16270000000 is an frugal number, since it uses more digits than its factorization.

16270000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 16270000000 its reverse (7261), we get a palindrome (16270007261).

The spelling of 16270000000 in words is "sixteen billion, two hundred seventy million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1627 2000 2500 3125 3200 3254 4000 5000 6250 6508 8000 8135 10000 12500 13016 15625 16000 16270 20000 25000 26032 31250 32540 40000 40675 50000 52064 62500 65080 78125 80000 81350 100000 104128 125000 130160 156250 162700 200000 203375 208256 250000 260320 312500 325400 400000 406750 500000 520640 625000 650800 813500 1000000 1016875 1041280 1250000 1301600 1627000 2000000 2033750 2500000 2603200 3254000 4067500 5000000 5084375 5206400 6508000 8135000 10000000 10168750 13016000 16270000 20337500 25421875 26032000 32540000 40675000 50843750 65080000 81350000 101687500 127109375 130160000 162700000 203375000 254218750 325400000 406750000 508437500 650800000 813500000 1016875000 1627000000 2033750000 3254000000 4067500000 8135000000 16270000000