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238555765960 = 2357990783233
BaseRepresentation
bin1101111000101100001…
…0000001110011001000
3211210202100202112100021
43132023002001303020
512402030234002320
6301331353550224
723143430360641
oct3361302016310
9753670675307
10238555765960
1192197568896
123a297a15374
131965a106185
14b7909446c8
156313279daa
hex378b081cc8

238555765960 has 64 divisors (see below), whose sum is σ = 544150598400. Its totient is φ = 94109423616.

The previous prime is 238555765957. The next prime is 238555765961. The reversal of 238555765960 is 69567555832.

It is a happy number.

238555765960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (238555765961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2824504 + ... + 2907736.

It is an arithmetic number, because the mean of its divisors is an integer number (8502353100).

Almost surely, 2238555765960 is an apocalyptic number.

238555765960 is a gapful number since it is divisible by the number (20) 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 238555765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272075299200).

238555765960 is an abundant number, since it is smaller than the sum of its proper divisors (305594832440).

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

238555765960 is a wasteful number, since it uses less digits than its factorization.

238555765960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84230 (or 84226 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 61.

The spelling of 238555765960 in words is "two hundred thirty-eight billion, five hundred fifty-five million, seven hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 907 1580 1814 3160 3628 4535 7256 9070 18140 36280 71653 83233 143306 166466 286612 332932 358265 416165 573224 665864 716530 832330 1433060 1664660 2866120 3329320 6575407 13150814 26301628 32877035 52603256 65754070 75492331 131508140 150984662 263016280 301969324 377461655 603938648 754923310 1509846620 3019693240 5963894149 11927788298 23855576596 29819470745 47711153192 59638941490 119277882980 238555765960