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104053016016 = 243717211829
BaseRepresentation
bin110000011101000001…
…0110000010111010000
3100221120122002220000000
41200322002300113100
53201100033003031
6115445025130000
710342350020505
oct1407202602720
9327518086000
10104053016016
1140146240014
12181bb189900
139a73404281
1450714554ac
152a8ee833e6
hex183a0b05d0

104053016016 has 320 divisors, whose sum is σ = 322049030400. Its totient is φ = 32450181120.

The previous prime is 104053015987. The next prime is 104053016017. The reversal of 104053016016 is 610610350401.

104053016016 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 53 + 0 + 1 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104053016017) 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, 125515890 + ... + 125516718.

It is an arithmetic number, because the mean of its divisors is an integer number (1006403220).

Almost surely, 2104053016016 is an apocalyptic number.

104053016016 is a gapful number since it is divisible by the number (16) 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 104053016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161024515200).

104053016016 is an abundant number, since it is smaller than the sum of its proper divisors (217996014384).

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

104053016016 is an equidigital number, since it uses as much as digits as its factorization.

104053016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 104053016016 its reverse (610610350401), we get a palindrome (714663366417).

The spelling of 104053016016 in words is "one hundred four billion, fifty-three million, sixteen thousand, sixteen".