Search a number
-
+
16311376656 = 24322923672
BaseRepresentation
bin11110011000011101…
…11101101100010000
31120002202201210021100
433030032331230100
5231401203023111
611254321224400
71115132261661
oct171416755420
946082653240
1016311376656
116a1038a783
1231b2792100
1316cc438383
14b0a467368
15657000756
hex3cc3bdb10

16311376656 has 135 divisors (see below), whose sum is σ = 47406762741. Its totient is φ = 5235334272.

The previous prime is 16311376621. The next prime is 16311376667. The reversal of 16311376656 is 65667311361.

It is a happy number.

The square root of 16311376656 is 127716.

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

16311376656 is a `hidden beast` number, since 1 + 631 + 1 + 3 + 7 + 6 + 6 + 5 + 6 = 666.

16311376656 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 8553290256 + 7758086400 = 92484^2 + 88080^2 .

It is a super-2 number, since 2×163113766562 (a number of 21 digits) contains 22 as substring.

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, 44444985 + ... + 44445351.

Almost surely, 216311376656 is an apocalyptic number.

16311376656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16311376656 is the 127716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16311376656

16311376656 is an abundant number, since it is smaller than the sum of its proper divisors (31095386085).

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

16311376656 is an equidigital number, since it uses as much as digits as its factorization.

16311376656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 401 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 16311376656 in words is "sixteen billion, three hundred eleven million, three hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 367 464 522 696 734 841 1044 1101 1392 1468 1682 2088 2202 2523 2936 3303 3364 4176 4404 5046 5872 6606 6728 7569 8808 10092 10643 13212 13456 15138 17616 20184 21286 26424 30276 31929 40368 42572 52848 60552 63858 85144 95787 121104 127716 134689 170288 191574 255432 269378 308647 383148 404067 510864 538756 617294 766296 808134 925941 1077512 1212201 1234588 1532592 1616268 1851882 2155024 2424402 2469176 2777823 3232536 3703764 3905981 4848804 4938352 5555646 6465072 7407528 7811962 9697608 11111292 11717943 14815056 15623924 19395216 22222584 23435886 31247848 35153829 44445168 46871772 62495696 70307658 93743544 113273449 140615316 187487088 226546898 281230632 339820347 453093796 562461264 679640694 906187592 1019461041 1359281388 1812375184 2038922082 2718562776 4077844164 5437125552 8155688328 16311376656