Search a number
-
+
16025028100 = 2252126592
BaseRepresentation
bin11101110110010101…
…01000011000000100
31112100210220202220021
432323022220120010
5230304401344400
611210051544524
71105054330354
oct167312503004
945323822807
1016025028100
11688378a884
1231328bb144
13168500a163
14ac0408b64
1563bcdb71a
hex3bb2a8604

16025028100 has 27 divisors (see below), whose sum is σ = 34777058197. Its totient is φ = 6409504880.

The previous prime is 16025028067. The next prime is 16025028101. The reversal of 16025028100 is 182052061.

The square root of 16025028100 is 126590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5769010116 + 10256017984 = 75954^2 + 101272^2 .

It is a super-2 number, since 2×160250281002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16025028101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1259571 + ... + 1272229.

Almost surely, 216025028100 is an apocalyptic number.

16025028100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16025028100 is the 126590-th square number.

It is an amenable number.

16025028100 is an abundant number, since it is smaller than the sum of its proper divisors (18752030097).

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

16025028100 is an frugal number, since it uses more digits than its factorization.

16025028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 16025028100 by its sum of digits (25), we get a square (400625702500 = 6329502).

16025028100 divided by its sum of digits (25) gives a square (641001124 = 253182).

The spelling of 16025028100 in words is "sixteen billion, twenty-five million, twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12659 25318 50636 63295 126590 253180 316475 632950 1265900 160250281 320500562 641001124 801251405 1602502810 3205005620 4006257025 8012514050 16025028100