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4396041216 = 21032783821
BaseRepresentation
bin1000001100000011…
…00100010000000000
3102100100221000212100
410012001210100000
533000341304331
62004114230400
7213636506460
oct40601442000
912310830770
104396041216
1119564a5916
12a28285400
135509a8128
142d9ba7ba0
151aae05ae6
hex106064400

4396041216 has 264 divisors, whose sum is σ = 14699490624. Its totient is φ = 1239367680.

The previous prime is 4396041187. The next prime is 4396041227. The reversal of 4396041216 is 6121406934.

4396041216 is a `hidden beast` number, since 4 + 39 + 604 + 1 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5354086 + ... + 5354906.

Almost surely, 24396041216 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 4396041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349745312).

4396041216 is an abundant number, since it is smaller than the sum of its proper divisors (10303449408).

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

4396041216 is a wasteful number, since it uses less digits than its factorization.

4396041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4396041216 is about 66302.6486348773. The cubic root of 4396041216 is about 1638.1509519317.

The spelling of 4396041216 in words is "four billion, three hundred ninety-six million, forty-one thousand, two hundred sixteen".