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4317242688 = 2632116411063
BaseRepresentation
bin1000000010101001…
…11110010101000000
3102010212122122121100
410001110332111000
532320203231223
61552221254400
7211661646243
oct40124762500
912125578540
104317242688
111915a75370
12a05a04400
1353a578895
142cd53525a
151a403d043
hex10153e540

4317242688 has 168 divisors, whose sum is σ = 13533339456. Its totient is φ = 1304985600.

The previous prime is 4317242663. The next prime is 4317242689. The reversal of 4317242688 is 8862427134.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4317242689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4060845 + ... + 4061907.

It is an arithmetic number, because the mean of its divisors is an integer number (80555592).

Almost surely, 24317242688 is an apocalyptic number.

4317242688 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 4317242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766669728).

4317242688 is an abundant number, since it is smaller than the sum of its proper divisors (9216096768).

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

4317242688 is a wasteful number, since it uses less digits than its factorization.

4317242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1720 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4317242688 is about 65705.7279694853. The cubic root of 4317242688 is about 1628.3039917532.

The spelling of 4317242688 in words is "four billion, three hundred seventeen million, two hundred forty-two thousand, six hundred eighty-eight".