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16354240641 = 322063880823
BaseRepresentation
bin11110011101100100…
…11110100010000001
31120012202101111121100
433032302132202001
5231443141200031
611302452045013
71116162515604
oct171662364201
946182344540
1016354240641
116a325a7062
123205003769
13170829568b
14b1202433b
1565ab6ade6
hex3cec9e881

16354240641 has 12 divisors (see below), whose sum is σ = 23634269568. Its totient is φ = 10897529784.

The previous prime is 16354240627. The next prime is 16354240663. The reversal of 16354240641 is 14604245361.

16354240641 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 4 + 2 + 4 + 0 + 641 = 666.

16354240641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-16354240641 is a prime.

It is a super-2 number, since 2×163542406412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16354240596 and 16354240605.

It is not an unprimeable number, because it can be changed into a prime (16354240691) 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, 421845 + ... + 458978.

It is an arithmetic number, because the mean of its divisors is an integer number (1969522464).

Almost surely, 216354240641 is an apocalyptic number.

It is an amenable number.

16354240641 is a deficient number, since it is larger than the sum of its proper divisors (7280028927).

16354240641 is a wasteful number, since it uses less digits than its factorization.

16354240641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882892 (or 882889 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16354240641 in words is "sixteen billion, three hundred fifty-four million, two hundred forty thousand, six hundred forty-one".

Divisors: 1 3 9 2063 6189 18567 880823 2642469 7927407 1817137849 5451413547 16354240641