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4055192064 = 293271121039
BaseRepresentation
bin1111000110110101…
…0101001000000000
3101110121120002201200
43301231111020000
531301112121224
61510220501200
7202330364250
oct36155251000
911417502650
104055192064
1117a1060900
129520aa800
134c81a7141
142a67dd960
1518b0285c9
hexf1b55200

4055192064 has 360 divisors, whose sum is σ = 14716141440. Its totient is φ = 1052282880.

The previous prime is 4055192039. The next prime is 4055192069. The reversal of 4055192064 is 4602915504.

4055192064 is a `hidden beast` number, since 40 + 551 + 9 + 2 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4055192069) 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 35 ways as a sum of consecutive naturals, for example, 3902457 + ... + 3903495.

Almost surely, 24055192064 is an apocalyptic number.

4055192064 is a gapful number since it is divisible by the number (44) 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 4055192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358070720).

4055192064 is an abundant number, since it is smaller than the sum of its proper divisors (10660949376).

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

4055192064 is a wasteful number, since it uses less digits than its factorization.

4055192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4055192064 is about 63680.3899485548. The cubic root of 4055192064 is about 1594.6687223209.

The spelling of 4055192064 in words is "four billion, fifty-five million, one hundred ninety-two thousand, sixty-four".