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16463231104 = 27379735837
BaseRepresentation
bin11110101010100100…
…01111100010000000
31120111100110210102011
433111102033202000
5232204041343404
611321344102304
71121655104215
oct172522174200
946440423364
1016463231104
116a89079221
123235604994
131724a36388
14b226b5b0c
156654e9604
hex3d548f880

16463231104 has 64 divisors (see below), whose sum is σ = 34032481560. Its totient is φ = 7926349824.

The previous prime is 16463231063. The next prime is 16463231117. The reversal of 16463231104 is 40113236461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15030760000 + 1432471104 = 122600^2 + 37848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441474 + ... + 477310.

Almost surely, 216463231104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16463231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016240780).

16463231104 is an abundant number, since it is smaller than the sum of its proper divisors (17569250456).

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

16463231104 is an equidigital number, since it uses as much as digits as its factorization.

16463231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35985 (or 35973 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 16463231104 its reverse (40113236461), we get a palindrome (56576467565).

The spelling of 16463231104 in words is "sixteen billion, four hundred sixty-three million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 97 128 148 194 296 388 592 776 1184 1552 2368 3104 3589 4736 6208 7178 12416 14356 28712 35837 57424 71674 114848 143348 229696 286696 459392 573392 1146784 1325969 2293568 2651938 3476189 4587136 5303876 6952378 10607752 13904756 21215504 27809512 42431008 55619024 84862016 111238048 128618993 169724032 222476096 257237986 444952192 514475972 1028951944 2057903888 4115807776 8231615552 16463231104