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4138816421850 = 23521129235136791
BaseRepresentation
bin111100001110100100101…
…011101011111111011010
3112122200000020021120200120
4330032210223223333122
51020302244000444400
612445202423414110
7605006505061215
oct74164453537732
915580006246616
104138816421850
111356297a75a50
1256a1692b4336
1324039a3c5b16
141044696b477c
15729d7d36ca0
hex3c3a4aebfda

4138816421850 has 192 divisors, whose sum is σ = 11588738273280. Its totient is φ = 968312800000.

The previous prime is 4138816421759. The next prime is 4138816421869. The reversal of 4138816421850 is 581246188314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4138816421793 and 4138816421802.

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, 112476955 + ... + 112513745.

It is an arithmetic number, because the mean of its divisors is an integer number (60358011840).

Almost surely, 24138816421850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138816421850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794369136640).

4138816421850 is an abundant number, since it is smaller than the sum of its proper divisors (7449921851430).

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

4138816421850 is a wasteful number, since it uses less digits than its factorization.

4138816421850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39197 (or 39192 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 4138816421850 in words is "four trillion, one hundred thirty-eight billion, eight hundred sixteen million, four hundred twenty-one thousand, eight hundred fifty".