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3999011968 = 2775384211
BaseRepresentation
bin1110111001011100…
…0001010010000000
3101022200211212010101
43232113001102000
531142221340333
61500452412144
7201046020010
oct35627012200
911280755111
103999011968
111772379976
12937317054
134b9666a93
1429d177c40
1518612c67d
hexee5c1480

3999011968 has 64 divisors (see below), whose sum is σ = 9276793920. Its totient is φ = 1681505280.

The previous prime is 3999011959. The next prime is 3999011969. The reversal of 3999011968 is 8691109993.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3999011969) 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 7 ways as a sum of consecutive naturals, for example, 5383 + ... + 89593.

It is an arithmetic number, because the mean of its divisors is an integer number (144949905).

Almost surely, 23999011968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3999011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638396960).

3999011968 is an abundant number, since it is smaller than the sum of its proper divisors (5277781952).

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

3999011968 is an equidigital number, since it uses as much as digits as its factorization.

3999011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84285 (or 84273 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 55.

The square root of 3999011968 is about 63237.7416421554. The cubic root of 3999011968 is about 1587.2703409524.

The spelling of 3999011968 in words is "three billion, nine hundred ninety-nine million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488 84211 168422 336844 589477 673688 1178954 1347376 2357908 2694752 4463183 4715816 5389504 8926366 9431632 10779008 17852732 18863264 31242281 35705464 37726528 62484562 71410928 75453056 124969124 142821856 249938248 285643712 499876496 571287424 999752992 1999505984 3999011968