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55549557000 = 2335537172113
BaseRepresentation
bin110011101111000000…
…101111100100001000
312022101100021212200000
4303233000233210020
51402231141311000
641304043443000
74004366305140
oct635700574410
9168340255600
1055549557000
11216163053a3
12a923526460
135313715272
14298d7a7920
1516a1ba3000
hexcef02f908

55549557000 has 1152 divisors, whose sum is σ = 238479171840. Its totient is φ = 11844403200.

The previous prime is 55549556977. The next prime is 55549557061. The reversal of 55549557000 is 75594555.

55549557000 is a `hidden beast` number, since 5 + 55 + 49 + 557 + 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 287 ways as a sum of consecutive naturals, for example, 491588944 + ... + 491589056.

It is an arithmetic number, because the mean of its divisors is an integer number (207013170).

Almost surely, 255549557000 is an apocalyptic number.

55549557000 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 55549557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119239585920).

55549557000 is an abundant number, since it is smaller than the sum of its proper divisors (182929614840).

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

55549557000 is a wasteful number, since it uses less digits than its factorization.

55549557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The spelling of 55549557000 in words is "fifty-five billion, five hundred forty-nine million, five hundred fifty-seven thousand".