Search a number
-
+
16201216656 = 2432106072
BaseRepresentation
bin11110001011010101…
…01111001010010000
31112211002110002011100
433011222233022100
5231140002413111
611235344144400
71112324032542
oct170552571220
945732402140
1016201216656
116964189959
123181908100
1316b2678241
14ad998d692
1564c4e0756
hex3c5aaf290

16201216656 has 45 divisors (see below), whose sum is σ = 45345179971. Its totient is φ = 5399896416.

The previous prime is 16201216613. The next prime is 16201216693. The reversal of 16201216656 is 65661210261.

The square root of 16201216656 is 127284.

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

16201216656 is a `hidden beast` number, since 1 + 620 + 1 + 21 + 6 + 6 + 5 + 6 = 666.

16201216656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162012166562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16201216656.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1522105 + ... + 1532711.

Almost surely, 216201216656 is an apocalyptic number.

16201216656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16201216656 is the 127284-th square number.

It is an amenable number.

16201216656 is an abundant number, since it is smaller than the sum of its proper divisors (29143963315).

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

16201216656 is an frugal number, since it uses more digits than its factorization.

16201216656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21228 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 16201216656 by its sum of digits (36), we get a square (583243799616 = 7637042).

16201216656 divided by its sum of digits (36) gives a square (450033796 = 212142).

The spelling of 16201216656 in words is "sixteen billion, two hundred one million, two hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10607 21214 31821 42428 63642 84856 95463 127284 169712 190926 254568 381852 509136 763704 1527408 112508449 225016898 337525347 450033796 675050694 900067592 1012576041 1350101388 1800135184 2025152082 2700202776 4050304164 5400405552 8100608328 16201216656