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16214966244 = 223219211172
BaseRepresentation
bin11110001100111110…
…01011111111100100
31112212001022122001100
433012133023333210
5231202012404434
611240555000100
71112551640031
oct170637137744
945761278040
1016214966244
116970a20154
123186439030
1316b54806a9
14adb72c388
1564d809699
hex3c67cbfe4

16214966244 has 81 divisors (see below), whose sum is σ = 43297387497. Its totient is φ = 5115931488.

The previous prime is 16214966179. The next prime is 16214966281. The reversal of 16214966244 is 44266941261.

The square root of 16214966244 is 127338.

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

16214966244 is a `hidden beast` number, since 1 + 6 + 2 + 14 + 9 + 6 + 624 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 717704100 + 15497262144 = 26790^2 + 124488^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16214966244.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14515974 + ... + 14517090.

Almost surely, 216214966244 is an apocalyptic number.

16214966244 is the 127338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16214966244

16214966244 is an abundant number, since it is smaller than the sum of its proper divisors (27082421253).

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

16214966244 is a wasteful number, since it uses less digits than its factorization.

16214966244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 16214966244 in words is "sixteen billion, two hundred fourteen million, nine hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1117 1444 2166 2234 3249 3351 4332 4468 6498 6702 10053 12996 13404 20106 21223 40212 42446 63669 84892 127338 191007 254676 382014 403237 764028 806474 1209711 1247689 1612948 2419422 2495378 3629133 3743067 4838844 4990756 7258266 7486134 11229201 14516532 14972268 22458402 23706091 44916804 47412182 71118273 94824364 142236546 213354819 284473092 426709638 450415729 853419276 900831458 1351247187 1801662916 2702494374 4053741561 5404988748 8107483122 16214966244