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2386144768 = 297295111
BaseRepresentation
bin1000111000111001…
…1010111000000000
320011021221201021011
42032032122320000
514341323113033
61032435210304
7113062616200
oct21616327000
96137851234
102386144768
111014a09977
12567146994
132c04773a7
14188c94400
15de73accd
hex8e39ae00

2386144768 has 60 divisors (see below), whose sum is σ = 5546075832. Its totient is φ = 1022622720.

The previous prime is 2386144721. The next prime is 2386144793. The reversal of 2386144768 is 8674416832.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 22468 + ... + 72643.

Almost surely, 22386144768 is an apocalyptic number.

2386144768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2386144768 is an abundant number, since it is smaller than the sum of its proper divisors (3159931064).

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

2386144768 is an frugal number, since it uses more digits than its factorization.

2386144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95143 (or 95120 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The square root of 2386144768 is about 48848.1808054302. The cubic root of 2386144768 is about 1336.2844960486.

The spelling of 2386144768 in words is "two billion, three hundred eighty-six million, one hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 25088 95111 190222 380444 665777 760888 1331554 1521776 2663108 3043552 4660439 5326216 6087104 9320878 10652432 12174208 18641756 21304864 24348416 37283512 42609728 48696832 74567024 85219456 149134048 170438912 298268096 340877824 596536192 1193072384 2386144768