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380676486024 = 233417533471879
BaseRepresentation
bin1011000101000100001…
…01100011001110001000
31100101120222222011010000
411202202011203032020
522214111140023044
6450514054123000
736334342512402
oct5424205431610
91311528864100
10380676486024
11137497a5233a
126193b950460
1329b8915c0c3
14145d3a93b72
159d80257d69
hex58a2163388

380676486024 has 320 divisors, whose sum is σ = 1154197123200. Its totient is φ = 116774701056.

The previous prime is 380676486017. The next prime is 380676486037. The reversal of 380676486024 is 420684676083.

380676486024 is a `hidden beast` number, since 3 + 80 + 67 + 6 + 486 + 0 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202594317 + ... + 202596195.

It is an arithmetic number, because the mean of its divisors is an integer number (3606866010).

Almost surely, 2380676486024 is an apocalyptic number.

380676486024 is a gapful number since it is divisible by the number (34) 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 380676486024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577098561600).

380676486024 is an abundant number, since it is smaller than the sum of its proper divisors (773520637176).

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

380676486024 is a wasteful number, since it uses less digits than its factorization.

380676486024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 380676486024 in words is "three hundred eighty billion, six hundred seventy-six million, four hundred eighty-six thousand, twenty-four".