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2166144425199 = 321918279471609
BaseRepresentation
bin11111100001011000010…
…001001101110011101111
321200002012022220010202200
4133201120101031303233
5240442230433101244
64335040224352543
7312333035550246
oct37413021156357
97602168803680
102166144425199
117657250695a7
122ab991475753
13129360796341
1476bb044995d
153b52e0d0669
hex1f85844dcef

2166144425199 has 48 divisors (see below), whose sum is σ = 3154344560640. Its totient is φ = 1432392635520.

The previous prime is 2166144425129. The next prime is 2166144425227. The reversal of 2166144425199 is 9915244416612.

2166144425199 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 1 + 4 + 442 + 5 + 199 = 666.

It is not a de Polignac number, because 2166144425199 - 29 = 2166144424687 is a prime.

It is a super-2 number, since 2×21661444251992 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166144425129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346266707 + ... + 1346268315.

It is an arithmetic number, because the mean of its divisors is an integer number (65715511680).

Almost surely, 22166144425199 is an apocalyptic number.

2166144425199 is a deficient number, since it is larger than the sum of its proper divisors (988200135441).

2166144425199 is a wasteful number, since it uses less digits than its factorization.

2166144425199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3577 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 2166144425199 in words is "two trillion, one hundred sixty-six billion, one hundred forty-four million, four hundred twenty-five thousand, one hundred ninety-nine".

Divisors: 1 3 9 191 573 827 947 1609 1719 2481 2841 4827 7443 8523 14481 157957 180877 307319 473871 542631 783169 921957 1330643 1421613 1523723 1627893 2349507 2765871 3991929 4571169 7048521 11975787 13713507 149585279 254152813 291031093 448755837 762458439 873093279 1260118921 1346267511 2287375317 2619279837 3780356763 11341070289 240682713911 722048141733 2166144425199