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55323126144 = 27331113279109
BaseRepresentation
bin110011100001100000…
…111110100110000000
312021210120012222221000
4303201200332212000
51401300210014034
641225354332000
73665646545646
oct634140764600
9167716188830
1055323126144
112150a50a560
12a87b72a000
1352a8835700
14296b6a5196
15168bd77599
hexce183e980

55323126144 has 768 divisors, whose sum is σ = 197112960000. Its totient is φ = 15138938880.

The previous prime is 55323126137. The next prime is 55323126191. The reversal of 55323126144 is 44162132355.

55323126144 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 31 + 2 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55323126099 and 55323126108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507551562 + ... + 507551670.

It is an arithmetic number, because the mean of its divisors is an integer number (256657500).

Almost surely, 255323126144 is an apocalyptic number.

55323126144 is a gapful number since it is divisible by the number (54) 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 55323126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98556480000).

55323126144 is an abundant number, since it is smaller than the sum of its proper divisors (141789833856).

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

55323126144 is a wasteful number, since it uses less digits than its factorization.

55323126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 55323126144 its reverse (44162132355), we get a palindrome (99485258499).

The spelling of 55323126144 in words is "fifty-five billion, three hundred twenty-three million, one hundred twenty-six thousand, one hundred forty-four".