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3999922560 = 273451931131
BaseRepresentation
bin1110111001101001…
…1111100110000000
3101022202120010020000
43232122133212000
531142440010220
61500524120000
7201056531544
oct35632374600
911282503200
103999922560
111772941027
12937696000
134b98c53aa
1429d333a24
1518625c390
hexee69f980

3999922560 has 640 divisors, whose sum is σ = 15639782400. Its totient is φ = 970444800.

The previous prime is 3999922559. The next prime is 3999922601. The reversal of 3999922560 is 652299993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3999922497 and 3999922506.

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 79 ways as a sum of consecutive naturals, for example, 30533695 + ... + 30533825.

It is an arithmetic number, because the mean of its divisors is an integer number (24437160).

Almost surely, 23999922560 is an apocalyptic number.

3999922560 is a gapful number since it is divisible by the number (30) 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 3999922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819891200).

3999922560 is an abundant number, since it is smaller than the sum of its proper divisors (11639859840).

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

3999922560 is a wasteful number, since it uses less digits than its factorization.

3999922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 3999922560 is about 63244.9409834494. The cubic root of 3999922560 is about 1587.3908078740.

The spelling of 3999922560 in words is "three billion, nine hundred ninety-nine million, nine hundred twenty-two thousand, five hundred sixty".