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4410139968 = 2632132329883
BaseRepresentation
bin1000001101101110…
…10110010101000000
3102101100110022201100
410012313112111000
533012443434333
62005340334400
7214200366633
oct40667262500
912340408640
104410139968
111963455483
12a30b44400
135538a34a0
142db9d7c1a
151ac28d213
hex106dd6540

4410139968 has 336 divisors, whose sum is σ = 14711598720. Its totient is φ = 1251790848.

The previous prime is 4410139963. The next prime is 4410139969. The reversal of 4410139968 is 8699310144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4410139963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4994055 + ... + 4994937.

It is an arithmetic number, because the mean of its divisors is an integer number (43784520).

Almost surely, 24410139968 is an apocalyptic number.

4410139968 is a gapful number since it is divisible by the number (48) 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 4410139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355799360).

4410139968 is an abundant number, since it is smaller than the sum of its proper divisors (10301458752).

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

4410139968 is a wasteful number, since it uses less digits than its factorization.

4410139968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4410139968 is about 66408.8847067921. The cubic root of 4410139968 is about 1639.9003469093.

The spelling of 4410139968 in words is "four billion, four hundred ten million, one hundred thirty-nine thousand, nine hundred sixty-eight".