Search a number
-
+
389316328128 = 26337132432103
BaseRepresentation
bin1011010101001010000…
…11111011101011000000
31101012220010100121101000
411222211003323223000
522334304440000003
6454503252012000
740061423121420
oct5524503735300
91335803317330
10389316328128
11140120a10612
1263551301000
132a93510a800
1414bb3316480
15a1d89e11a3
hex5aa50fbac0

389316328128 has 1008 divisors, whose sum is σ = 1464160688640. Its totient is φ = 99315320832.

The previous prime is 389316328117. The next prime is 389316328139. The reversal of 389316328128 is 821823613983.

389316328128 is a `hidden beast` number, since 389 + 3 + 163 + 2 + 81 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (389316328117) and next prime (389316328139).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2985984) is a multiple of the sum of its prime factors (243).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3779770125 + ... + 3779770227.

Almost surely, 2389316328128 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 389316328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732080344320).

389316328128 is an abundant number, since it is smaller than the sum of its proper divisors (1074844360512).

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

389316328128 is a wasteful number, since it uses less digits than its factorization.

389316328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 171 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 389316328128 in words is "three hundred eighty-nine billion, three hundred sixteen million, three hundred twenty-eight thousand, one hundred twenty-eight".