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2381748768 = 253275322291
BaseRepresentation
bin1000110111110110…
…1001101000100000
320010222200101002100
42031331221220200
514334211430033
61032201050400
7113010346650
oct21575515040
96128611070
102381748768
111012487113
12565786a00
132bc5984c9
1418846c360
15de16d513
hex8df69a20

2381748768 has 144 divisors (see below), whose sum is σ = 7887087936. Its totient is φ = 667630080.

The previous prime is 2381748749. The next prime is 2381748769. The reversal of 2381748768 is 8678471832.

It is a happy number.

2381748768 is a `hidden beast` number, since 23 + 81 + 7 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2381748769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95703 + ... + 117993.

It is an arithmetic number, because the mean of its divisors is an integer number (54771444).

Almost surely, 22381748768 is an apocalyptic number.

2381748768 is a gapful number since it is divisible by the number (28) 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 2381748768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943543968).

2381748768 is an abundant number, since it is smaller than the sum of its proper divisors (5505339168).

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

2381748768 is a wasteful number, since it uses less digits than its factorization.

2381748768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22367 (or 22356 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 2381748768 is about 48803.1635040189. The cubic root of 2381748768 is about 1335.4633782583.

The spelling of 2381748768 in words is "two billion, three hundred eighty-one million, seven hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 22291 26712 35616 44582 53424 66873 89164 106848 133746 156037 178328 200619 267492 312074 356656 401238 468111 534984 624148 713312 802476 936222 1069968 1181423 1248296 1404333 1604952 1872444 2139936 2362846 2496592 2808666 3209904 3544269 3744888 4725692 4993184 5617332 6419808 7088538 7489776 8269961 9451384 10632807 11234664 14177076 14979552 16539922 18902768 21265614 22469328 24809883 28354152 33079844 37805536 42531228 44938656 49619766 56708304 66159688 74429649 85062456 99239532 113416608 132319376 148859298 170124912 198479064 264638752 297718596 340249824 396958128 595437192 793916256 1190874384 2381748768