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4069690560 = 2633513191907
BaseRepresentation
bin1111001010010010…
…1000110011000000
3101111121211200221000
43302210220303000
531313320044220
61511455332000
7202564541025
oct36244506300
911447750830
104069690560
1117a9263831
12956b21000
134cb1b2430
142a86d554c
1518c43e390
hexf2928cc0

4069690560 has 448 divisors, whose sum is σ = 16283635200. Its totient is φ = 948547584.

The previous prime is 4069690531. The next prime is 4069690561. The reversal of 4069690560 is 650969604.

It is a super-2 number, since 2×40696905602 = 33124762508306227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4069690561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2133127 + ... + 2135033.

It is an arithmetic number, because the mean of its divisors is an integer number (36347400).

Almost surely, 24069690560 is an apocalyptic number.

4069690560 is a gapful number since it is divisible by the number (40) 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 4069690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141817600).

4069690560 is an abundant number, since it is smaller than the sum of its proper divisors (12213944640).

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

4069690560 is a wasteful number, since it uses less digits than its factorization.

4069690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 4069690560 is about 63794.1263753960. The cubic root of 4069690560 is about 1596.5669307072.

The spelling of 4069690560 in words is "four billion, sixty-nine million, six hundred ninety thousand, five hundred sixty".