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16415009001 = 327324984793
BaseRepresentation
bin11110100100110100…
…10010100011101001
31120100222201212010100
433102122102203221
5232104220242001
611312502340013
71120531163046
oct172232224351
946328655110
1016415009001
116a63932246
12322142a609
131717a512a1
14b1a1221cd
15661171586
hex3d26928e9

16415009001 has 12 divisors (see below), whose sum is σ = 24035371828. Its totient is φ = 10793430144.

The previous prime is 16415008931. The next prime is 16415009047. The reversal of 16415009001 is 10090051461.

16415009001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3896755776 + 12518253225 = 62424^2 + 111885^2 .

It is not a de Polignac number, because 16415009001 - 217 = 16414877929 is a prime.

It is a super-2 number, since 2×164150090012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16415009101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12491740 + ... + 12493053.

Almost surely, 216415009001 is an apocalyptic number.

It is an amenable number.

16415009001 is a deficient number, since it is larger than the sum of its proper divisors (7620362827).

16415009001 is a wasteful number, since it uses less digits than its factorization.

16415009001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24984872 (or 24984869 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 16415009001 in words is "sixteen billion, four hundred fifteen million, nine thousand, one".

Divisors: 1 3 9 73 219 657 24984793 74954379 224863137 1823889889 5471669667 16415009001