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2378652864 = 26373191901
BaseRepresentation
bin1000110111000111…
…0101110011000000
320010202212002022020
42031301311303000
514332413342424
61032010441440
7112642134000
oct21561656300
96122762266
102378652864
111010762115
12564733280
132bba53303
14187ca4000
15ddc5b079
hex8dc75cc0

2378652864 has 224 divisors, whose sum is σ = 7729728000. Its totient is φ = 643507200.

The previous prime is 2378652853. The next prime is 2378652901. The reversal of 2378652864 is 4682568732.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250314 + ... + 1252214.

Almost surely, 22378652864 is an apocalyptic number.

2378652864 is a gapful number since it is divisible by the number (24) 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 2378652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864864000).

2378652864 is an abundant number, since it is smaller than the sum of its proper divisors (5351075136).

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

2378652864 is a wasteful number, since it uses less digits than its factorization.

2378652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1932 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 2378652864 is about 48771.4349184028. The cubic root of 2378652864 is about 1334.8844956108.

The spelling of 2378652864 in words is "two billion, three hundred seventy-eight million, six hundred fifty-two thousand, eight hundred sixty-four".