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550990308960 = 253357133374159
BaseRepresentation
bin10000000010010011001…
…01001110011001100000
31221200012110110210101000
420001021211032121200
533011412004341320
61101042122312000
754544024231260
oct10011145163140
91850173423330
10550990308960
111a2745735303
128a951658600
133cc5c113920
141c94d29b7a0
15e4ec3e2c90
hex804994e660

550990308960 has 768 divisors, whose sum is σ = 2381112115200. Its totient is φ = 115880067072.

The previous prime is 550990308949. The next prime is 550990308971. The reversal of 550990308960 is 69803099055.

550990308960 is a `hidden beast` number, since 550 + 9 + 9 + 0 + 3 + 0 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (550990308949) and next prime (550990308971).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 550990308897 and 550990308906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132479361 + ... + 132483519.

It is an arithmetic number, because the mean of its divisors is an integer number (3100406400).

Almost surely, 2550990308960 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 550990308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190556057600).

550990308960 is an abundant number, since it is smaller than the sum of its proper divisors (1830121806240).

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

550990308960 is a wasteful number, since it uses less digits than its factorization.

550990308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 550990308960 in words is "five hundred fifty billion, nine hundred ninety million, three hundred eight thousand, nine hundred sixty".