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6022662144 = 211331103307
BaseRepresentation
bin1011001101111101…
…01000100000000000
3120112201200221021220
411212332220200000
544313300142034
62433342315040
7302150532522
oct54676504000
916481627256
106022662144
1126106aa234
121200b88a80
1374c9a1b15
14411c2ba12
15253b12749
hex166fa8800

6022662144 has 192 divisors, whose sum is σ = 16789893120. Its totient is φ = 1917665280.

The previous prime is 6022662143. The next prime is 6022662157. The reversal of 6022662144 is 4412662206.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6022662143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19617639 + ... + 19617945.

It is an arithmetic number, because the mean of its divisors is an integer number (87447360).

Almost surely, 26022662144 is an apocalyptic number.

6022662144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6022662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394946560).

6022662144 is an abundant number, since it is smaller than the sum of its proper divisors (10767230976).

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

6022662144 is a wasteful number, since it uses less digits than its factorization.

6022662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 6022662144 is about 77605.8125658124. The cubic root of 6022662144 is about 1819.4054879043.

The spelling of 6022662144 in words is "six billion, twenty-two million, six hundred sixty-two thousand, one hundred forty-four".