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16434152361 = 3211229520381
BaseRepresentation
bin11110100111000110…
…10100001110101001
31120102022202102212200
433103203110032221
5232124120333421
611314424530413
71121152663434
oct172343241651
946368672780
1016434152361
116a73717a00
123227920a09
13171b9c4813
14b1c8a681b
15662ba3726
hex3d38d43a9

16434152361 has 36 divisors (see below), whose sum is σ = 26992214340. Its totient is φ = 9616622400.

The previous prime is 16434152351. The next prime is 16434152411. The reversal of 16434152361 is 16325143461.

16434152361 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 415 + 236 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3147210000 + 13286942361 = 56100^2 + 115269^2 .

It is not a de Polignac number, because 16434152361 - 218 = 16433890217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16434152311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228610 + ... + 291771.

Almost surely, 216434152361 is an apocalyptic number.

16434152361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16434152361 is a deficient number, since it is larger than the sum of its proper divisors (10558061979).

16434152361 is a wasteful number, since it uses less digits than its factorization.

16434152361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520438 (or 520424 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 16434152361 in words is "sixteen billion, four hundred thirty-four million, one hundred fifty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 2871 3509 10527 31581 520381 1561143 4683429 5724191 15091049 17172573 45273147 51517719 62966101 135819441 166001539 188898303 498004617 566694909 1494013851 1826016929 5478050787 16434152361