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550648089216 = 27326116574729
BaseRepresentation
bin10000000001101010010…
…11110000101010000000
31221122022121112020010200
420000311023300222000
533010211402323331
61100544135325200
754532400350131
oct10006513605200
91848277466120
10550648089216
111a258a544575
128a876b20800
133cc06252b34
141c919a57c88
15e4cc3445e6
hex80352f0a80

550648089216 has 192 divisors, whose sum is σ = 1611836140200. Its totient is φ = 180393246720.

The previous prime is 550648089209. The next prime is 550648089247. The reversal of 550648089216 is 612980846055.

550648089216 is a `hidden beast` number, since 5 + 506 + 48 + 0 + 8 + 92 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109613966400 + 441034122816 = 331080^2 + 664104^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116438340 + ... + 116443068.

Almost surely, 2550648089216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550648089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805918070100).

550648089216 is an abundant number, since it is smaller than the sum of its proper divisors (1061188050984).

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

550648089216 is a wasteful number, since it uses less digits than its factorization.

550648089216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 550648089216 in words is "five hundred fifty billion, six hundred forty-eight million, eighty-nine thousand, two hundred sixteen".