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38819442480 = 24357213318191
BaseRepresentation
bin100100001001110100…
…011010111100110000
310201012101122000000220
4210021310122330300
51114000234124410
625500003213040
72542660550100
oct441164327460
9121171560026
1038819442480
1115510621775
127634677180
133878607810
141c4389d200
15102303c070
hex909d1af30

38819442480 has 480 divisors, whose sum is σ = 155638038528. Its totient is φ = 7925299200.

The previous prime is 38819442463. The next prime is 38819442499. The reversal of 38819442480 is 8424491883.

It is a super-2 number, since 2×388194424802 (a number of 22 digits) contains 22 as substring.

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, 4735185 + ... + 4743375.

Almost surely, 238819442480 is an apocalyptic number.

38819442480 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 38819442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77819019264).

38819442480 is an abundant number, since it is smaller than the sum of its proper divisors (116818596048).

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

38819442480 is a wasteful number, since it uses less digits than its factorization.

38819442480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 38819442480 in words is "thirty-eight billion, eight hundred nineteen million, four hundred forty-two thousand, four hundred eighty".