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238271458672 = 241321941113117
BaseRepresentation
bin1101110111101000010…
…1011110110101110000
3211210000112210020001201
43131322011132311300
512400434443134142
6301243240140544
723133405660502
oct3357205366560
9753015706051
10238271458672
1192061032595
123a218767754
1319613241100
14b764c97d72
1562e831aab7
hex377a15ed70

238271458672 has 120 divisors (see below), whose sum is σ = 539043467760. Its totient is φ = 101641512960.

The previous prime is 238271458643. The next prime is 238271458679. The reversal of 238271458672 is 276854172832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238271458679) 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, 2049858 + ... + 2162974.

It is an arithmetic number, because the mean of its divisors is an integer number (4492028898).

Almost surely, 2238271458672 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 238271458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269521733880).

238271458672 is an abundant number, since it is smaller than the sum of its proper divisors (300772009088).

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

238271458672 is a wasteful number, since it uses less digits than its factorization.

238271458672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113211 (or 113192 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The spelling of 238271458672 in words is "two hundred thirty-eight billion, two hundred seventy-one million, four hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 41 52 76 82 104 152 164 169 208 247 304 328 338 494 533 656 676 779 988 1066 1352 1558 1976 2132 2704 3116 3211 3952 4264 6232 6422 6929 8528 10127 12464 12844 13858 20254 25688 27716 40508 51376 55432 81016 110864 113117 131651 162032 226234 263302 452468 526604 904936 1053208 1470521 1809872 2106416 2149223 2941042 4298446 4637797 5882084 8596892 9275594 11764168 17193784 18551188 19116773 23528336 27939899 34387568 37102376 38233546 55879798 60291361 74204752 76467092 88118143 111759596 120582722 152934184 176236286 223519192 241165444 305868368 352472572 363218687 447038384 482330888 704945144 726437374 783787693 964661776 1145535859 1409890288 1452874748 1567575386 2291071718 2905749496 3135150772 4582143436 5811498992 6270301544 9164286872 12540603088 14891966167 18328573744 29783932334 59567864668 119135729336 238271458672