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1045555056 = 2432713731093
BaseRepresentation
bin111110010100011…
…110011101110000
32200212101200220100
4332110132131300
54120130230211
6251425512400
734624033320
oct7624363560
92625350810
101045555056
11497208a97
122521a2700
131387ca340
149cc09280
1561bce156
hex3e51e770

1045555056 has 240 divisors, whose sum is σ = 3654030016. Its totient is φ = 271724544.

The previous prime is 1045555037. The next prime is 1045555087. The reversal of 1045555056 is 6505555401.

1045555056 is a `hidden beast` number, since 1 + 0 + 4 + 55 + 550 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1045555056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956046 + ... + 957138.

Almost surely, 21045555056 is an apocalyptic number.

1045555056 is a gapful number since it is divisible by the number (16) 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 1045555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827015008).

1045555056 is an abundant number, since it is smaller than the sum of its proper divisors (2608474960).

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

1045555056 is a wasteful number, since it uses less digits than its factorization.

1045555056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 1045555056 is about 32335.0437760644. The cubic root of 1045555056 is about 1014.9600980860.

The spelling of 1045555056 in words is "one billion, forty-five million, five hundred fifty-five thousand, fifty-six".