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380518871040 = 212365711331
BaseRepresentation
bin1011000100110001011…
…00010011000000000000
31100101012000101111000000
411202120230103000000
522213300312333130
6450450304000000
736330420015450
oct5423054230000
91311160344000
10380518871040
11137416a89920
12618b7000000
1329b625c50b9
14145bab85d60
159d714c2260
hex5898b13000

380518871040 has 1456 divisors, whose sum is σ = 1712054774016. Its totient is φ = 78829977600.

The previous prime is 380518871027. The next prime is 380518871093. The reversal of 380518871040 is 40178815083.

It is a happy number.

380518871040 is a `hidden beast` number, since 3 + 8 + 0 + 518 + 87 + 10 + 40 = 666.

It is a super-2 number, since 2×3805188710402 (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1149603675 + ... + 1149604005.

Almost surely, 2380518871040 is an apocalyptic number.

380518871040 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 380518871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856027387008).

380518871040 is an abundant number, since it is smaller than the sum of its proper divisors (1331535902976).

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

380518871040 is an equidigital number, since it uses as much as digits as its factorization.

380518871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 380518871040 in words is "three hundred eighty billion, five hundred eighteen million, eight hundred seventy-one thousand, forty".