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6180124104 = 233271117232851
BaseRepresentation
bin1011100000101110…
…10011010111001000
3120221200222211111100
411300113103113020
5100124102432404
62501125301400
7306102121350
oct56027232710
916850884440
106180124104
112691578790
121245864860
137764b428b
14428ad9b60
15262867d39
hex1705d35c8

6180124104 has 384 divisors, whose sum is σ = 23064238080. Its totient is φ = 1444608000.

The previous prime is 6180124061. The next prime is 6180124109. The reversal of 6180124104 is 4014210816.

It is a happy number.

6180124104 is a `hidden beast` number, since 618 + 0 + 1 + 2 + 41 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6180124109) 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, 2166279 + ... + 2169129.

It is an arithmetic number, because the mean of its divisors is an integer number (60063120).

Almost surely, 26180124104 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 6180124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532119040).

6180124104 is an abundant number, since it is smaller than the sum of its proper divisors (16884113976).

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

6180124104 is a wasteful number, since it uses less digits than its factorization.

6180124104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6180124104 is about 78613.7653595094. The cubic root of 6180124104 is about 1835.1253398584.

It can be divided in two parts, 61801 and 24104, that added together give a triangular number (85905 = T414).

The spelling of 6180124104 in words is "six billion, one hundred eighty million, one hundred twenty-four thousand, one hundred four".