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3101441664 = 27350316057
BaseRepresentation
bin1011100011011100…
…0011111010000000
322000010220120010210
42320313003322000
522322432113124
61231430354120
7136566550656
oct27067037200
98003816123
103101441664
111351757032
127267bb940
133a57112a9
14215c90dd6
15132430a29
hexb8dc3e80

3101441664 has 64 divisors (see below), whose sum is σ = 8255096640. Its totient is φ = 1031694336.

The previous prime is 3101441663. The next prime is 3101441689. The reversal of 3101441664 is 4661441013.

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 (3101441663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185124 + ... + 201180.

It is an arithmetic number, because the mean of its divisors is an integer number (128985885).

Almost surely, 23101441664 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 3101441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127548320).

3101441664 is an abundant number, since it is smaller than the sum of its proper divisors (5153654976).

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

3101441664 is a wasteful number, since it uses less digits than its factorization.

3101441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16577 (or 16565 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3101441664 is about 55690.5886483524. The cubic root of 3101441664 is about 1458.3257319687.

Adding to 3101441664 its reverse (4661441013), we get a palindrome (7762882677).

The spelling of 3101441664 in words is "three billion, one hundred one million, four hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 503 1006 1509 2012 3018 4024 6036 8048 12072 16057 16096 24144 32114 32192 48171 48288 64228 64384 96342 96576 128456 192684 193152 256912 385368 513824 770736 1027648 1541472 2055296 3082944 6165888 8076671 16153342 24230013 32306684 48460026 64613368 96920052 129226736 193840104 258453472 387680208 516906944 775360416 1033813888 1550720832 3101441664