Search a number
-
+
16214938623 = 32131724133827
BaseRepresentation
bin11110001100111110…
…00101001111111111
31112212001021020011100
433012133011033333
5231202011013443
611240554224143
71112551463352
oct170637051777
945761236140
1016214938623
116970a01424
123186425053
1316b5470c50
14adb722299
1564d8013d3
hex3c67c53ff

16214938623 has 48 divisors (see below), whose sum is σ = 26818567776. Its totient is φ = 9352212480.

The previous prime is 16214938591. The next prime is 16214938627. The reversal of 16214938623 is 32683941261.

16214938623 is a `hidden beast` number, since 1 + 6 + 2 + 14 + 9 + 3 + 8 + 623 = 666.

It is not a de Polignac number, because 16214938623 - 25 = 16214938591 is a prime.

It is a super-2 number, since 2×162149386232 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16214938627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462436 + ... + 496262.

It is an arithmetic number, because the mean of its divisors is an integer number (558720162).

Almost surely, 216214938623 is an apocalyptic number.

16214938623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

16214938623 is a deficient number, since it is larger than the sum of its proper divisors (10603629153).

16214938623 is a wasteful number, since it uses less digits than its factorization.

16214938623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34104 (or 34101 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 16214938623 in words is "sixteen billion, two hundred fourteen million, nine hundred thirty-eight thousand, six hundred twenty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 241 663 723 1989 2169 3133 4097 9399 12291 28197 33827 36873 53261 101481 159783 304443 439751 479349 575059 1319253 1725177 3957759 5175531 7475767 8152307 22427301 24456921 67281903 73370763 105979991 138589219 317939973 415767657 953819919 1247302971 1801659847 5404979541 16214938623