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366143114106 = 233711434634423
BaseRepresentation
bin1010101001111111101…
…01001000101101111010
31022000002010212100211000
411110333311020231322
521444330114122411
6440112005345430
735311240055610
oct5247765105572
91260063770730
10366143114106
1113130a273970
125ab64708276
13286b11b2453
1413a158196b0
1597ce3b8956
hex553fd48b7a

366143114106 has 256 divisors, whose sum is σ = 1040490823680. Its totient is φ = 92668847040.

The previous prime is 366143114093. The next prime is 366143114167. The reversal of 366143114106 is 601411341663.

366143114106 is a `hidden beast` number, since 3 + 6 + 614 + 31 + 1 + 4 + 1 + 0 + 6 = 666.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 82779411 + ... + 82783833.

It is an arithmetic number, because the mean of its divisors is an integer number (4064417280).

Almost surely, 2366143114106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366143114106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520245411840).

366143114106 is an abundant number, since it is smaller than the sum of its proper divisors (674347709574).

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

366143114106 is a wasteful number, since it uses less digits than its factorization.

366143114106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 366143114106 its reverse (601411341663), we get a palindrome (967554455769).

It can be divided in two parts, 366143 and 114106, that added together give a square (480249 = 6932).

The spelling of 366143114106 in words is "three hundred sixty-six billion, one hundred forty-three million, one hundred fourteen thousand, one hundred six".