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216542130640 = 24511246070603
BaseRepresentation
bin1100100110101011101…
…0101011000111010000
3202200221012012222201121
43021222322223013100
512021434241140030
6243251133212024
721434054512063
oct3115272530720
9680835188647
10216542130640
1183920429850
1235b73631014
131755c4bba64
14a6a30548da
15597585647a
hex326aeab1d0

216542130640 has 40 divisors (see below), whose sum is σ = 549229588128. Its totient is φ = 78742592640.

The previous prime is 216542130631. The next prime is 216542130671. The reversal of 216542130640 is 46031245612.

216542130640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2165421306402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216542130596 and 216542130605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123034422 + ... + 123036181.

Almost surely, 2216542130640 is an apocalyptic number.

216542130640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216542130640 is an abundant number, since it is smaller than the sum of its proper divisors (332687457488).

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

216542130640 is a wasteful number, since it uses less digits than its factorization.

216542130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246070627 (or 246070621 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 216542130640 in words is "two hundred sixteen billion, five hundred forty-two million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 246070603 492141206 984282412 1230353015 1968564824 2460706030 2706776633 3937129648 4921412060 5413553266 9842824120 10827106532 13533883165 19685648240 21654213064 27067766330 43308426128 54135532660 108271065320 216542130640