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385067749248 = 27327132436571
BaseRepresentation
bin1011001101001111101…
…00111000111110000000
31100210221000220102210200
411212213310320332000
522302104320433443
6452521522125200
736551223602160
oct5464764707600
91323830812720
10385067749248
111393407843a6
12627664b0800
132a408b53500
14148ccd765a0
15a03aa17dd3
hex59a7d38f80

385067749248 has 576 divisors, whose sum is σ = 1403378570880. Its totient is φ = 99179458560.

The previous prime is 385067749247. The next prime is 385067749249. The reversal of 385067749248 is 842947760583.

385067749248 is a `hidden beast` number, since 3 + 85 + 0 + 67 + 7 + 492 + 4 + 8 = 666.

385067749248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (385067749247) and next prime (385067749249).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385067749247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58597803 + ... + 58604373.

It is an arithmetic number, because the mean of its divisors is an integer number (2436421130).

Almost surely, 2385067749248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385067749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701689285440).

385067749248 is an abundant number, since it is smaller than the sum of its proper divisors (1018310821632).

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

385067749248 is a wasteful number, since it uses less digits than its factorization.

385067749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 385067749248 in words is "three hundred eighty-five billion, sixty-seven million, seven hundred forty-nine thousand, two hundred forty-eight".