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16876781394496 = 2653296892
BaseRepresentation
bin1111010110010110111010…
…0011110101101001000000
32012202101220220122111222221
43311211232203311221000
54203002122014110441
655521030352140424
73361210242631552
oct365455643655100
965671826574887
1016876781394496
1154174481362a1
121a869bbb37714
1395562081549a
14424baa78d4d2
151e400cd158d1
hexf596e8f5a40

16876781394496 has 63 divisors (see below), whose sum is σ = 34137192926011. Its totient is φ = 8278321286144.

The previous prime is 16876781394491. The next prime is 16876781394521. The reversal of 16876781394496 is 69449318767861.

The square root of 16876781394496 is 4108136.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1353685710400 + 15523095684096 = 1163480^2 + 3939936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16876781394491) 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 8 ways as a sum of consecutive naturals, for example, 1741844820 + ... + 1741854508.

Almost surely, 216876781394496 is an apocalyptic number.

16876781394496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16876781394496 is the 4108136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16876781394496

16876781394496 is an abundant number, since it is smaller than the sum of its proper divisors (17260411531515).

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

16876781394496 is an frugal number, since it uses more digits than its factorization.

16876781394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19496 (or 9744 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 79.

The spelling of 16876781394496 in words is "sixteen trillion, eight hundred seventy-six billion, seven hundred eighty-one million, three hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 9689 11236 19378 22472 38756 44944 77512 89888 155024 179776 310048 513517 620096 1027034 2054068 4108136 8216272 16432544 27216401 32865088 54432802 93876721 108865604 187753442 217731208 375506884 435462416 751013768 870924832 1502027536 1741849664 3004055072 4975466213 6008110144 9950932426 19901864852 39803729704 79607459408 159214918816 263699709289 318429837632 527399418578 1054798837156 2109597674312 4219195348624 8438390697248 16876781394496