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231270048175488 = 2737699112306961
BaseRepresentation
bin110100100101011011000001…
…000100011001010110000000
31010022212012102022000221020220
4310211123001010121112000
5220303112024313103423
62135511554324503040
766466465250255040
oct6445330104312600
91108765368027226
10231270048175488
1167765092aa7513
1221b3182724aa80
139c078973ca27a
14411775c691720
151bb0ce84cd9e3
hexd256c1119580

231270048175488 has 128 divisors (see below), whose sum is σ = 702170270960640. Its totient is φ = 66067699507200.

The previous prime is 231270048175417. The next prime is 231270048175559. The reversal of 231270048175488 is 884571840072132.

It is an interprime number because it is at equal distance from previous prime (231270048175417) and next prime (231270048175559).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2312700481754883 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12638328 + ... + 24945288.

It is an arithmetic number, because the mean of its divisors is an integer number (5485705241880).

Almost surely, 2231270048175488 is an apocalyptic number.

231270048175488 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 231270048175488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351085135480320).

231270048175488 is an abundant number, since it is smaller than the sum of its proper divisors (470900222785152).

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

231270048175488 is a wasteful number, since it uses less digits than its factorization.

231270048175488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12313976 (or 12313964 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 231270048175488 in words is "two hundred thirty-one trillion, two hundred seventy billion, forty-eight million, one hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 6991 13982 20973 27964 41946 48937 55928 83892 97874 111856 146811 167784 195748 223712 293622 335568 391496 447424 587244 671136 782992 894848 1174488 1342272 1565984 2348976 2684544 3131968 4697952 6263936 9395904 12306961 18791808 24613922 36920883 49227844 73841766 86148727 98455688 147683532 172297454 196911376 258446181 295367064 344594908 393822752 516892362 590734128 689189816 787645504 1033784724 1181468256 1378379632 1575291008 2067569448 2362936512 2756759264 4135138896 4725873024 5513518528 8270277792 11027037056 16540555584 33081111168 86037964351 172075928702 258113893053 344151857404 516227786106 602265750457 688303714808 1032455572212 1204531500914 1376607429616 1806797251371 2064911144424 2409063001828 2753214859232 3613594502742 4129822288848 4818126003656 5506429718464 7227189005484 8259644577696 9636252007312 11012859436928 14454378010968 16519289155392 19272504014624 28908756021936 33038578310784 38545008029248 57817512043872 77090016058496 115635024087744 231270048175488