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16674298641 = 3272112132432
BaseRepresentation
bin11111000011101110…
…11001101100010001
31121001001122010122100
433201313121230101
5233122110024031
611354324031013
71130130125400
oct174167315421
947031563570
1016674298641
117087230400
123294232469
131759697100
14b42739637
15678cdcde6
hex3e1dd9b11

16674298641 has 243 divisors, whose sum is σ = 34140631707. Its totient is φ = 7809721920.

The previous prime is 16674298639. The next prime is 16674298687. The reversal of 16674298641 is 14689247661.

The square root of 16674298641 is 129129.

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

It can be written as a sum of positive squares in only one way, i.e., 2466612225 + 14207686416 = 49665^2 + 119196^2 .

It is not a de Polignac number, because 16674298641 - 21 = 16674298639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16674298441) 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 242 ways as a sum of consecutive naturals, for example, 387774366 + ... + 387774408.

Almost surely, 216674298641 is an apocalyptic number.

16674298641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16674298641 is the 129129-th square number.

16674298641 is the 64565-th centered octagonal number.

It is an amenable number.

16674298641 is an abundant number, since it is smaller than the sum of its proper divisors (17466333066).

16674298641 is a wasteful number, since it uses less digits than its factorization.

16674298641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 16674298641 in words is "sixteen billion, six hundred seventy-four million, two hundred ninety-eight thousand, six hundred forty-one".