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231555008048 = 247135310927529
BaseRepresentation
bin1101011110100111000…
…0010000011000110000
3211010200110121011220012
43113221300100120300
512243211040224143
6254212551234052
722505102044010
oct3275160203060
9733613534805
10231555008048
118a224846851
1238a63378928
1318ab28c6280
14b2c8c6bc40
156053861418
hex35e9c10630

231555008048 has 160 divisors (see below), whose sum is σ = 567769910400. Its totient is φ = 89048014848.

The previous prime is 231555008039. The next prime is 231555008071. The reversal of 231555008048 is 840800555132.

It is a junction number, because it is equal to n+sod(n) for n = 231555007996 and 231555008014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8397548 + ... + 8425076.

It is an arithmetic number, because the mean of its divisors is an integer number (3548561940).

Almost surely, 2231555008048 is an apocalyptic number.

231555008048 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 231555008048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283884955200).

231555008048 is an abundant number, since it is smaller than the sum of its proper divisors (336214902352).

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

231555008048 is a wasteful number, since it uses less digits than its factorization.

231555008048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27719 (or 27713 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 231555008048 in words is "two hundred thirty-one billion, five hundred fifty-five million, eight thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 109 112 182 208 212 218 364 371 424 436 689 728 742 763 848 872 1378 1417 1456 1484 1526 1744 2756 2834 2968 3052 4823 5512 5668 5777 5936 6104 9646 9919 11024 11336 11554 12208 19292 19838 22672 23108 27529 38584 39676 40439 46216 55058 75101 77168 79352 80878 92432 110116 150202 158704 161756 192703 220232 300404 323512 357877 385406 440464 525707 600808 647024 715754 770812 1051414 1201616 1431508 1459037 1541624 2102828 2505139 2863016 2918074 3000661 3083248 4205656 5010278 5726032 5836148 6001322 8411312 10020556 10213259 11672296 12002644 18967481 20041112 20426518 21004627 23344592 24005288 37934962 39008593 40082224 40853036 42009254 48010576 75869924 78017186 81706072 84018508 132772367 151739848 156034372 159035033 163412144 168037016 265544734 273060151 303479696 312068744 318070066 336074032 531089468 546120302 624137488 636140132 1062178936 1092240604 1113245231 1272280264 2067455429 2124357872 2184481208 2226490462 2544560528 4134910858 4368962416 4452980924 8269821716 8905961848 14472188003 16539643432 17811923696 28944376006 33079286864 57888752012 115777504024 231555008048