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110357114856048 = 24334328320992381
BaseRepresentation
bin11001000101111010000100…
…101000010010001001110000
3112110202001000002011010011000
4121011322010220102021300
5103431042332400343143
61030413205250322000
732150016116642424
oct3105720450221160
9473661002133130
10110357114856048
113218820a372165
1210463b46589300
134976828bbb478
141d374546aab84
15cb59961bbbd3
hex645e84a12270

110357114856048 has 160 divisors (see below), whose sum is σ = 325277798785280. Its totient is φ = 35803259815680.

The previous prime is 110357114856011. The next prime is 110357114856059. The reversal of 110357114856048 is 840658411753011.

110357114856048 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 5 + 71 + 1 + 4 + 8 + 560 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110357114855985 and 110357114856003.

It is a congruent number.

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, 5239183 + ... + 15753198.

It is an arithmetic number, because the mean of its divisors is an integer number (2032986242408).

Almost surely, 2110357114856048 is an apocalyptic number.

110357114856048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110357114856048 is an abundant number, since it is smaller than the sum of its proper divisors (214920683929232).

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

110357114856048 is a wasteful number, since it uses less digits than its factorization.

110357114856048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992724 (or 20992712 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 110357114856048 in words is "one hundred ten trillion, three hundred fifty-seven billion, one hundred fourteen million, eight hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 283 344 387 432 516 566 688 774 849 1032 1132 1161 1548 1698 2064 2264 2322 2547 3096 3396 4528 4644 5094 6192 6792 7641 9288 10188 12169 13584 15282 18576 20376 24338 30564 36507 40752 48676 61128 73014 97352 109521 122256 146028 194704 219042 292056 328563 438084 584112 657126 876168 1314252 1752336 2628504 5257008 20992381 41984762 62977143 83969524 125954286 167939048 188931429 251908572 335878096 377862858 503817144 566794287 755725716 902672383 1007634288 1133588574 1511451432 1805344766 2267177148 2708017149 3022902864 3610689532 4534354296 5416034298 5940843823 7221379064 8124051447 9068708592 10832068596 11881687646 14442758128 16248102894 17822531469 21664137192 23763375292 24372154341 32496205788 35645062938 43328274384 47526750584 48744308682 53467594407 64992411576 71290125876 95053501168 97488617364 106935188814 129984823152 142580251752 160402783221 194977234728 213870377628 255456284389 285160503504 320805566442 389954469456 427740755256 510912568778 641611132884 766368853167 855481510512 1021825137556 1283222265768 1532737706334 2043650275112 2299106559501 2566444531536 3065475412668 4087300550224 4598213119002 6130950825336 6897319678503 9196426238004 12261901650672 13794639357006 18392852476008 27589278714012 36785704952016 55178557428024 110357114856048