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389897149824 = 273271316722271
BaseRepresentation
bin1011010110001111010…
…11100101110110000000
31101021101121021101221200
411223013223211312000
522342002132243244
6455041041021200
740112005043220
oct5530753456600
91337347241850
10389897149824
1114039985a546
1263693924800
132a9c854cca0
1414c2a50a080
15a21e9c1669
hex5ac7ae5d80

389897149824 has 384 divisors, whose sum is σ = 1389216890880. Its totient is φ = 102209679360.

The previous prime is 389897149823. The next prime is 389897149843. The reversal of 389897149824 is 428941798983.

389897149824 is a `hidden beast` number, since 38 + 9 + 89 + 7 + 1 + 498 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389897149823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17495809 + ... + 17518079.

It is an arithmetic number, because the mean of its divisors is an integer number (3617752320).

Almost surely, 2389897149824 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 389897149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694608445440).

389897149824 is an abundant number, since it is smaller than the sum of its proper divisors (999319741056).

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

389897149824 is a wasteful number, since it uses less digits than its factorization.

389897149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22478 (or 22463 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 389897149824 in words is "three hundred eighty-nine billion, eight hundred ninety-seven million, one hundred forty-nine thousand, eight hundred twenty-four".