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55231776000 = 2832531729389
BaseRepresentation
bin110011011100000100…
…100000010100000000
312021120012022221002100
4303130010200110000
51401103313313000
641212332350400
73663460231002
oct633404402400
9167505287070
1055231776000
1121472996875
12a855015400
13529293007b
14295d4c6372
151683d30a00
hexcdc120500

55231776000 has 864 divisors, whose sum is σ = 218246464800. Its totient is φ = 13349683200.

The previous prime is 55231775981. The next prime is 55231776079. The reversal of 55231776000 is 67713255.

55231776000 is a `hidden beast` number, since 5 + 523 + 1 + 77 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 37959508224 + 17272267776 = 194832^2 + 131424^2 .

It is a super-2 number, since 2×552317760002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141983806 + ... + 141984194.

It is an arithmetic number, because the mean of its divisors is an integer number (252600075).

Almost surely, 255231776000 is an apocalyptic number.

55231776000 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 55231776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109123232400).

55231776000 is an abundant number, since it is smaller than the sum of its proper divisors (163014688800).

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

55231776000 is a wasteful number, since it uses less digits than its factorization.

55231776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 55231776000 in words is "fifty-five billion, two hundred thirty-one million, seven hundred seventy-six thousand".