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5504553936 = 243472323137
BaseRepresentation
bin1010010000001100…
…01101001111010000
3112012121210022110000
411020012031033100
542233131211221
62310113410000
7253256636130
oct51006151720
915177708400
105504553936
1123751a4932
121097569900
1369954970b
143a30c0ac0
152233bde26
hex14818d3d0

5504553936 has 600 divisors, whose sum is σ = 20178819584. Its totient is φ = 1416476160.

The previous prime is 5504553911. The next prime is 5504553937. The reversal of 5504553936 is 6393554055.

5504553936 is a `hidden beast` number, since 5 + 5 + 0 + 4 + 553 + 93 + 6 = 666.

It is a super-2 number, since 2×55045539362 = 60600228068666184192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5504553891 and 5504553900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5504553937) 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 119 ways as a sum of consecutive naturals, for example, 148771710 + ... + 148771746.

Almost surely, 25504553936 is an apocalyptic number.

5504553936 is a gapful number since it is divisible by the number (56) 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 5504553936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089409792).

5504553936 is an abundant number, since it is smaller than the sum of its proper divisors (14674265648).

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

5504553936 is a wasteful number, since it uses less digits than its factorization.

5504553936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The square root of 5504553936 is about 74192.6811484799. The cubic root of 5504553936 is about 1765.6612144883.

The spelling of 5504553936 in words is "five billion, five hundred four million, five hundred fifty-three thousand, nine hundred thirty-six".