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4169066880 = 2735111091811
BaseRepresentation
bin1111100001111110…
…1110100110000000
3101202112211112121110
43320133232212000
532014240120010
61525405323320
7205212324636
oct37037564600
911675745543
104169066880
11184a369720
12984266540
135159680a4
142b79a3356
1519601e120
hexf87ee980

4169066880 has 256 divisors, whose sum is σ = 14638060800. Its totient is φ = 1000857600.

The previous prime is 4169066857. The next prime is 4169066911. The reversal of 4169066880 is 886609614.

It is a super-2 number, since 2×41690668802 = 34762237299825868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2301175 + ... + 2302985.

It is an arithmetic number, because the mean of its divisors is an integer number (57179925).

Almost surely, 24169066880 is an apocalyptic number.

4169066880 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 4169066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319030400).

4169066880 is an abundant number, since it is smaller than the sum of its proper divisors (10468993920).

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

4169066880 is a wasteful number, since it uses less digits than its factorization.

4169066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 4169066880 is about 64568.3117326139. The cubic root of 4169066880 is about 1609.4578990974.

The spelling of 4169066880 in words is "four billion, one hundred sixty-nine million, sixty-six thousand, eight hundred eighty".