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16961692416 = 28322085537
BaseRepresentation
bin11111100101111111…
…01110001100000000
31121210002102020210020
433302333232030000
5234214143124131
611443031533440
71140220002204
oct176277561400
947702366706
1016961692416
117214484619
12335452a280
1317a409ccb6
14b6c98ab04
1569415b996
hex3f2fee300

16961692416 has 36 divisors (see below), whose sum is σ = 45142839672. Its totient is φ = 5653897216.

The previous prime is 16961692373. The next prime is 16961692417. The reversal of 16961692416 is 61429616961.

It is a happy number.

It is a super-2 number, since 2×169616924162 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16961692417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11042001 + ... + 11043536.

Almost surely, 216961692416 is an apocalyptic number.

16961692416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16961692416 is an abundant number, since it is smaller than the sum of its proper divisors (28181147256).

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

16961692416 is an equidigital number, since it uses as much as digits as its factorization.

16961692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22085556 (or 22085542 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The spelling of 16961692416 in words is "sixteen billion, nine hundred sixty-one million, six hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 22085537 44171074 66256611 88342148 132513222 176684296 265026444 353368592 530052888 706737184 1060105776 1413474368 2120211552 2826948736 4240423104 5653897472 8480846208 16961692416