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5502945600 = 26345242461
BaseRepresentation
bin1010010000000000…
…00100100101000000
3112012111202121020000
411020000010211000
542232223224400
62310015120000
7253240160115
oct51000044500
915174677200
105502945600
1123742a6529
121096b13000
13699105639
143a2bc290c
152231a2600
hex148004940

5502945600 has 210 divisors, whose sum is σ = 20227920174. Its totient is φ = 1467417600.

The previous prime is 5502945599. The next prime is 5502945601. The reversal of 5502945600 is 65492055.

5502945600 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 9 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5502945599) and next prime (5502945601).

It can be written as a sum of positive squares in 3 ways, for example, as 1853819136 + 3649126464 = 43056^2 + 60408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5502945601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 108370 + ... + 150830.

Almost surely, 25502945600 is an apocalyptic number.

5502945600 is a gapful number since it is divisible by the number (50) 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 5502945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113960087).

5502945600 is an abundant number, since it is smaller than the sum of its proper divisors (14724974574).

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

5502945600 is a wasteful number, since it uses less digits than its factorization.

5502945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42495 (or 42471 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5502945600 is about 74181.8414438466. The cubic root of 5502945600 is about 1765.4892324560.

The spelling of 5502945600 in words is "five billion, five hundred two million, nine hundred forty-five thousand, six hundred".