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38412560601864 = 23324211867967843
BaseRepresentation
bin10001011101111100111110…
…00001111001001100001000
312001000012112101122012212200
420232332133001321030020
520013322411003224424
6213410253044440200
711043134026562121
oct1056763701711410
9161005471565780
1038412560601864
111126a748056789
1243847409a9060
13185839a9b9227
1496b26c059048
154692eb1e28c9
hex22ef9f079308

38412560601864 has 96 divisors (see below), whose sum is σ = 104288249956800. Its totient is φ = 12772900990080.

The previous prime is 38412560601841. The next prime is 38412560601869. The reversal of 38412560601864 is 46810606521483.

38412560601864 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 560 + 6 + 0 + 18 + 64 = 666.

38412560601864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38412560601864.

It is not an unprimeable number, because it can be changed into a prime (38412560601869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 566163927 + ... + 566231769.

It is an arithmetic number, because the mean of its divisors is an integer number (1086335937050).

Almost surely, 238412560601864 is an apocalyptic number.

It is an amenable number.

38412560601864 is an abundant number, since it is smaller than the sum of its proper divisors (65875689354936).

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

38412560601864 is a wasteful number, since it uses less digits than its factorization.

38412560601864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86955 (or 86948 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 38412560601864 in words is "thirty-eight trillion, four hundred twelve billion, five hundred sixty million, six hundred one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 421 842 1263 1684 2526 3368 3789 5052 7578 10104 15156 18679 30312 37358 56037 67843 74716 112074 135686 149432 168111 203529 224148 271372 336222 407058 448296 542744 610587 672444 814116 1221174 1344888 1628232 2442348 4884696 7863859 15727718 23591577 28561903 31455436 47183154 57123806 62910872 70774731 85685709 94366308 114247612 141549462 171371418 188732616 228495224 257057127 283098924 342742836 514114254 566197848 685485672 1028228508 1267239397 2056457016 2534478794 3801718191 5068957588 7603436382 10137915176 11405154573 15206872764 22810309146 30413745528 45620618292 91241236584 533507786137 1067015572274 1600523358411 2134031144548 3201046716822 4268062289096 4801570075233 6402093433644 9603140150466 12804186867288 19206280300932 38412560601864