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389141521920 = 2935517311187
BaseRepresentation
bin1011010100110101010…
…01000110011000000000
31101012102221102112100000
411222122221012120000
522333430212200140
6454434045200000
740054201234344
oct5523251063000
91335387375300
10389141521920
11140041276078
1263502860000
132a907b34998
1414b98011624
15a1c84b1a30
hex5a9aa46600

389141521920 has 960 divisors, whose sum is σ = 1528858146816. Its totient is φ = 94436720640.

The previous prime is 389141521891. The next prime is 389141521921. The reversal of 389141521920 is 29125141983.

389141521920 is a `hidden beast` number, since 3 + 89 + 1 + 41 + 521 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3891415219202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389141521921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327835567 + ... + 327836753.

Almost surely, 2389141521920 is an apocalyptic number.

389141521920 is a gapful number since it is divisible by the number (30) 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 389141521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764429073408).

389141521920 is an abundant number, since it is smaller than the sum of its proper divisors (1139716624896).

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

389141521920 is a wasteful number, since it uses less digits than its factorization.

389141521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 389141521920 in words is "three hundred eighty-nine billion, one hundred forty-one million, five hundred twenty-one thousand, nine hundred twenty".