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380472424416 = 253271797193593
BaseRepresentation
bin1011000100101011110…
…11000111011111100000
31100101001202222202012200
411202111323013133200
522213201420040131
6450441524253200
736326314150530
oct5422573073740
91311052882180
10380472424416
111373a2845887
12618a3541200
1329b55ab21a6
14145b49354c0
159d6c39a2e6
hex5895ec77e0

380472424416 has 576 divisors, whose sum is σ = 1331866343808. Its totient is φ = 100562632704.

The previous prime is 380472424369. The next prime is 380472424477. The reversal of 380472424416 is 614424274083.

380472424416 is a `hidden beast` number, since 380 + 4 + 7 + 24 + 244 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641605816 + ... + 641606408.

It is an arithmetic number, because the mean of its divisors is an integer number (2312267958).

Almost surely, 2380472424416 is an apocalyptic number.

380472424416 is a gapful number since it is divisible by the number (36) 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 380472424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665933171904).

380472424416 is an abundant number, since it is smaller than the sum of its proper divisors (951393919392).

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

380472424416 is a wasteful number, since it uses less digits than its factorization.

380472424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

Adding to 380472424416 its reverse (614424274083), we get a palindrome (994896698499).

The spelling of 380472424416 in words is "three hundred eighty billion, four hundred seventy-two million, four hundred twenty-four thousand, four hundred sixteen".