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385231661550 = 23252432716521
BaseRepresentation
bin1011001101100011001…
…10001010100111101110
31100211100110100001012200
411212301212022213232
522302423301132200
6452550055242330
736555254044461
oct5466146124756
91324313301180
10385231661550
1113941525910a
12627b13793a6
132a433ab3938
1414906a432d8
15a04a0e4800
hex59b198a9ee

385231661550 has 216 divisors, whose sum is σ = 1074707317008. Its totient is φ = 98911008000.

The previous prime is 385231661453. The next prime is 385231661587. The reversal of 385231661550 is 55166132583.

385231661550 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 31 + 6 + 61 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 385231661496 and 385231661505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59072290 + ... + 59078810.

It is an arithmetic number, because the mean of its divisors is an integer number (4975496838).

Almost surely, 2385231661550 is an apocalyptic number.

385231661550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385231661550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537353658504).

385231661550 is an abundant number, since it is smaller than the sum of its proper divisors (689475655458).

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

385231661550 is a wasteful number, since it uses less digits than its factorization.

385231661550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 385231661550 in words is "three hundred eighty-five billion, two hundred thirty-one million, six hundred sixty-one thousand, five hundred fifty".