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238068333568 = 21013109164071
BaseRepresentation
bin1101110110110111111…
…0100111110000000000
3211202111101120101210201
43131231332213300000
512400030443133233
6301211142334544
723125361306152
oct3355576476000
9752441511721
10238068333568
1191a674056aa
123a18072a454
13195b0131540
14b745d00ad2
1562d559577d
hex376dfa7c00

238068333568 has 88 divisors (see below), whose sum is σ = 517217291360. Its totient is φ = 108868976640.

The previous prime is 238068333563. The next prime is 238068333583. The reversal of 238068333568 is 865333860832.

It is a happy number.

It is a super-2 number, since 2×2380683335682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238068333563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368973 + ... + 1533043.

It is an arithmetic number, because the mean of its divisors is an integer number (5877469220).

Almost surely, 2238068333568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238068333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258608645680).

238068333568 is an abundant number, since it is smaller than the sum of its proper divisors (279148957792).

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

238068333568 is a wasteful number, since it uses less digits than its factorization.

238068333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164213 (or 164195 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 238068333568 in words is "two hundred thirty-eight billion, sixty-eight million, three hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 256 416 436 512 832 872 1024 1417 1664 1744 2834 3328 3488 5668 6656 6976 11336 13312 13952 22672 27904 45344 55808 90688 111616 164071 181376 328142 362752 656284 725504 1312568 1451008 2132923 2625136 4265846 5250272 8531692 10500544 17063384 17883739 21001088 34126768 35767478 42002176 68253536 71534956 84004352 136507072 143069912 168008704 232488607 273014144 286139824 464977214 546028288 572279648 929954428 1092056576 1144559296 1859908856 2184113152 2289118592 3719817712 4578237184 7439635424 9156474368 14879270848 18312948736 29758541696 59517083392 119034166784 238068333568