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16424106516 = 22321014517081
BaseRepresentation
bin11110100101111001…
…11111101000010100
31120101121212001120100
433102330333220110
5232114032402031
611313425334100
71121001413316
oct172274775024
946347761510
1016424106516
116a68a86354
123224497330
1317198b812c
14b1b40d7b6
15661d6bde6
hex3d2f3fa14

16424106516 has 36 divisors (see below), whose sum is σ = 41927555124. Its totient is φ = 5420496000.

The previous prime is 16424106499. The next prime is 16424106541. The reversal of 16424106516 is 61560142461.

16424106516 is a `hidden beast` number, since 1 + 642 + 4 + 1 + 0 + 6 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9760649616 + 6663456900 = 98796^2 + 81630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2254905 + ... + 2262176.

It is an arithmetic number, because the mean of its divisors is an integer number (1164654309).

Almost surely, 216424106516 is an apocalyptic number.

It is an amenable number.

16424106516 is an abundant number, since it is smaller than the sum of its proper divisors (25503448608).

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

16424106516 is a wasteful number, since it uses less digits than its factorization.

16424106516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517192 (or 4517187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 16424106516 its reverse (61560142461), we get a palindrome (77984248977).

The spelling of 16424106516 in words is "sixteen billion, four hundred twenty-four million, one hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 4517081 9034162 13551243 18068324 27102486 40653729 54204972 81307458 162614916 456225181 912450362 1368675543 1824900724 2737351086 4106026629 5474702172 8212053258 16424106516