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5505597216 = 253472379167
BaseRepresentation
bin1010010000010100…
…01011111100100000
3112012200202022120000
411020022023330200
542233413102331
62310152020000
7253301542560
oct51012137440
915180668500
105505597216
112375847749
121097991600
13699823542
143a32b2da0
152235280e6
hex14828bf20

5505597216 has 480 divisors, whose sum is σ = 19670999040. Its totient is φ = 1476693504.

The previous prime is 5505597211. The next prime is 5505597221. The reversal of 5505597216 is 6127955055.

5505597216 is a `hidden beast` number, since 5 + 50 + 5 + 597 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5505597211) and next prime (5505597221).

It is not an unprimeable number, because it can be changed into a prime (5505597211) 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 79 ways as a sum of consecutive naturals, for example, 32967565 + ... + 32967731.

It is an arithmetic number, because the mean of its divisors is an integer number (40981248).

Almost surely, 25505597216 is an apocalyptic number.

5505597216 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 5505597216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835499520).

5505597216 is an abundant number, since it is smaller than the sum of its proper divisors (14165401824).

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

5505597216 is a wasteful number, since it uses less digits than its factorization.

5505597216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The square root of 5505597216 is about 74199.7116975531. The cubic root of 5505597216 is about 1765.7727562341.

The spelling of 5505597216 in words is "five billion, five hundred five million, five hundred ninety-seven thousand, two hundred sixteen".