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55182897000 = 233353711219127
BaseRepresentation
bin110011011001001010…
…000010111101101000
312021102210100121201000
4303121022002331220
51401003310201000
641203424555000
73662324612430
oct633112027550
9167383317630
1055182897000
1121448341300
12a840782a60
135285777c9a
142956c012c0
15167e8c8000
hexcd9282f68

55182897000 has 1536 divisors, whose sum is σ = 254951424000. Its totient is φ = 10777536000.

The previous prime is 55182896987. The next prime is 55182897139. The reversal of 55182897000 is 79828155.

It is a happy number.

55182897000 is a `hidden beast` number, since 551 + 8 + 2 + 8 + 97 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 434510937 + ... + 434511063.

It is an arithmetic number, because the mean of its divisors is an integer number (165984000).

Almost surely, 255182897000 is an apocalyptic number.

55182897000 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 55182897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127475712000).

55182897000 is an abundant number, since it is smaller than the sum of its proper divisors (199768527000).

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

55182897000 is a wasteful number, since it uses less digits than its factorization.

55182897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 55182897000 in words is "fifty-five billion, one hundred eighty-two million, eight hundred ninety-seven thousand".