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4069510368 = 2537211314359
BaseRepresentation
bin1111001010001111…
…1100110011100000
3101111121111112202020
43302203330303200
531313243312433
61511451421440
7202563160500
oct36243746340
911447445666
104069510368
1117a9150410
12956a54880
134cb14b401
142a8689a00
1518c405cb3
hexf28fcce0

4069510368 has 576 divisors, whose sum is σ = 14561648640. Its totient is φ = 982195200.

The previous prime is 4069510339. The next prime is 4069510381. The reversal of 4069510368 is 8630159604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68974723 + ... + 68974781.

It is an arithmetic number, because the mean of its divisors is an integer number (25280640).

Almost surely, 24069510368 is an apocalyptic number.

4069510368 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 4069510368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280824320).

4069510368 is an abundant number, since it is smaller than the sum of its proper divisors (10492138272).

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

4069510368 is a wasteful number, since it uses less digits than its factorization.

4069510368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4069510368 is about 63792.7140667334. The cubic root of 4069510368 is about 1596.5433668489.

The spelling of 4069510368 in words is "four billion, sixty-nine million, five hundred ten thousand, three hundred sixty-eight".