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57127523084648 = 231511933536531063
BaseRepresentation
bin11001111110101000010011…
…01110000110100101101000
321111021100010022022011001022
430333110021232012211220
524441434131402202043
6321300004413112012
715014220164134202
oct1477241156064550
9244240108264038
1057127523084648
1117225712519385
1264a7843a88608
1325b5143a17133
141016db5d87772
15691040a06868
hex33f509b86968

57127523084648 has 128 divisors (see below), whose sum is σ = 108958023175680. Its totient is φ = 28078070169600.

The previous prime is 57127523084627. The next prime is 57127523084699. The reversal of 57127523084648 is 84648032572175.

It is a happy number.

57127523084648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53741789765 + ... + 53741790827.

It is an arithmetic number, because the mean of its divisors is an integer number (851234556060).

Almost surely, 257127523084648 is an apocalyptic number.

It is an amenable number.

57127523084648 is a deficient number, since it is larger than the sum of its proper divisors (51830500091032).

57127523084648 is a wasteful number, since it uses less digits than its factorization.

57127523084648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 62.

The spelling of 57127523084648 in words is "fifty-seven trillion, one hundred twenty-seven billion, five hundred twenty-three million, eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 151 193 302 353 386 604 653 706 772 1063 1208 1306 1412 1544 2126 2612 2824 4252 5224 8504 29143 53303 58286 68129 98603 106606 116572 126029 136258 160513 197206 205159 213212 230509 233144 252058 272516 321026 375239 394412 410318 426424 461018 504116 545032 642052 694139 750478 788824 820636 922036 1008232 1284104 1388278 1500956 1641272 1844072 2776556 3001912 5553112 10287479 19030379 20574958 30979009 34806859 38060758 41149916 44488237 56661089 61958018 69613718 72421127 76121516 82299832 88976474 104814989 113322178 123916036 133968827 139227436 144842254 152243032 177952948 209629978 226644356 245031067 247832072 267937654 278454872 289684508 355905896 419259956 453288712 490062134 535875308 579369016 838519912 980124268 1071750616 1960248536 6717723787 10935590177 13435447574 20229292877 21871180354 26870895148 36999691117 40458585754 43742360708 47290995931 53741790296 73999382234 80917171508 87484721416 94581991862 147998764468 161834343016 189163983724 295997528936 378327967448 7140940385581 14281880771162 28563761542324 57127523084648