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16078493601 = 347321932
BaseRepresentation
bin11101111100101101…
…00101011110100001
31112111112112002210000
432332112211132201
5230412043243401
611215241530213
71106303640432
oct167626453641
945445462700
1016078493601
116900988245
1231487a3969
131693109a51
14ac7565489
1564184d186
hex3be5a57a1

16078493601 has 45 divisors (see below), whose sum is σ = 24478848009. Its totient is φ = 10517382144.

The previous prime is 16078493593. The next prime is 16078493609. The reversal of 16078493601 is 10639487061.

It is a happy number.

The square root of 16078493601 is 126801.

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

16078493601 is a `hidden beast` number, since 1 + 607 + 8 + 4 + 9 + 36 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (16078493593) and next prime (16078493609).

It can be written as a sum of positive squares in 4 ways, for example, as 652853601 + 15425640000 = 25551^2 + 124200^2 .

It is not a de Polignac number, because 16078493601 - 23 = 16078493593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16078493609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83308161 + ... + 83308353.

Almost surely, 216078493601 is an apocalyptic number.

16078493601 is the 126801-st square number.

16078493601 is the 63401-st centered octagonal number.

It is an amenable number.

16078493601 is a deficient number, since it is larger than the sum of its proper divisors (8400354408).

16078493601 is an frugal number, since it uses more digits than its factorization.

16078493601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16078493601 in words is "sixteen billion, seventy-eight million, four hundred ninety-three thousand, six hundred one".

Divisors: 1 3 9 27 73 81 193 219 579 657 1737 1971 5211 5329 5913 14089 15633 15987 37249 42267 47961 111747 126801 143883 335241 380403 431649 1005723 1028497 1141209 2719177 3017169 3085491 8157531 9256473 24472593 27769419 73417779 83308257 198499921 220253337 595499763 1786499289 5359497867 16078493601