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2383168896 = 27323166733
BaseRepresentation
bin1000111000001100…
…0100010110000000
320011002100112010200
42032003010112000
514340042401041
61032251325200
7113025413163
oct21603042600
96132315120
102383168896
111013267079
12566150800
132bc974a14
1418871bada
15de34e1b6
hex8e0c4580

2383168896 has 96 divisors (see below), whose sum is σ = 7079142720. Its totient is φ = 768752640.

The previous prime is 2383168891. The next prime is 2383168913. The reversal of 2383168896 is 6988613832.

It is a happy number.

2383168896 is a `hidden beast` number, since 238 + 316 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2383168891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346 + ... + 69078.

It is an arithmetic number, because the mean of its divisors is an integer number (73741070).

Almost surely, 22383168896 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 2383168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539571360).

2383168896 is an abundant number, since it is smaller than the sum of its proper divisors (4695973824).

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

2383168896 is a wasteful number, since it uses less digits than its factorization.

2383168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66784 (or 66769 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2383168896 is about 48817.7108844731. The cubic root of 2383168896 is about 1335.7287507931.

The spelling of 2383168896 in words is "two billion, three hundred eighty-three million, one hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 66733 133466 200199 266932 400398 533864 600597 800796 1067728 1201194 1601592 2068723 2135456 2402388 3203184 4137446 4270912 4804776 6206169 6406368 8274892 8541824 9609552 12412338 12812736 16549784 18618507 19219104 24824676 25625472 33099568 37237014 38438208 49649352 66199136 74474028 76876416 99298704 132398272 148948056 198597408 264796544 297896112 397194816 595792224 794389632 1191584448 2383168896