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238159616256 = 283433892
BaseRepresentation
bin1101110111001101101…
…0110101100100000000
3211202201202100001010000
43131303122311210000
512400222330210011
6301224203040000
723130550223352
oct3356332654400
9752652301100
10238159616256
1192003992741
123a1a7210000
13195c6012273
14b7540a30d2
1562dd5c7356
hex37736b5900

238159616256 has 135 divisors (see below), whose sum is σ = 710358489841. Its totient is φ = 79363113984.

The previous prime is 238159616249. The next prime is 238159616287. The reversal of 238159616256 is 652616951832.

The square root of 238159616256 is 488016.

It is a perfect power (a square), and thus also a powerful number.

238159616256 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 5 + 9 + 6 + 1 + 625 + 6 = 666.

238159616256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 231184025856 + 6975590400 = 480816^2 + 83520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 70272610 + ... + 70275998.

Almost surely, 2238159616256 is an apocalyptic number.

238159616256 is the 488016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238159616256

238159616256 is an abundant number, since it is smaller than the sum of its proper divisors (472198873585).

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

238159616256 is an frugal number, since it uses more digits than its factorization.

238159616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 3394 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 238159616256 in words is "two hundred thirty-eight billion, one hundred fifty-nine million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3389 3456 5184 6778 6912 10167 10368 13556 20334 20736 27112 30501 40668 54224 61002 81336 91503 108448 122004 162672 183006 216896 244008 274509 325344 366012 433792 488016 549018 650688 732024 867584 976032 1098036 1301376 1464048 1952064 2196072 2602752 2928096 3904128 4392144 5856192 7808256 8784288 11485321 11712384 17568576 22970642 23424768 34455963 35137152 45941284 68911926 70274304 91882568 103367889 137823852 183765136 206735778 275647704 310103667 367530272 413471556 551295408 620207334 735060544 826943112 930311001 1102590816 1240414668 1470121088 1653886224 1860622002 2205181632 2480829336 2940242176 3307772448 3721244004 4410363264 4961658672 6615544896 7442488008 8820726528 9923317344 13231089792 14884976016 19846634688 26462179584 29769952032 39693269376 59539904064 79386538752 119079808128 238159616256