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38416499660 = 22571171734813
BaseRepresentation
bin100011110001110011…
…010100001111001100
310200011022102101101202
4203301303110033030
51112134110442120
625352010525032
72526665600510
oct436163241714
9120138371352
1038416499660
1115324126880
127541736778
133812ca5906
141c06170140
15eec996875
hex8f1cd43cc

38416499660 has 192 divisors, whose sum is σ = 103416735744. Its totient is φ = 11641190400.

The previous prime is 38416499657. The next prime is 38416499669. The reversal of 38416499660 is 6699461483.

It is a happy number.

38416499660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384164996602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38416499596 and 38416499605.

It is not an unprimeable number, because it can be changed into a prime (38416499669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7979414 + ... + 7984226.

It is an arithmetic number, because the mean of its divisors is an integer number (538628832).

Almost surely, 238416499660 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 38416499660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51708367872).

38416499660 is an abundant number, since it is smaller than the sum of its proper divisors (65000236084).

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

38416499660 is a wasteful number, since it uses less digits than its factorization.

38416499660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 38416499660 in words is "thirty-eight billion, four hundred sixteen million, four hundred ninety-nine thousand, six hundred sixty".