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68417620714464 = 2537786431294609
BaseRepresentation
bin11111000111001101101111…
…11110101010001111100000
322222020122211121211022220120
433203212313332222033200
532431423241400330324
6401302342051440240
720261003264442240
oct1743466776521740
9288218747738816
1068417620714464
111a88882828227a
12780b9628b6080
132c239a5573338
1412c7605473b20
157d9a75349179
hex3e39b7faa3e0

68417620714464 has 96 divisors (see below), whose sum is σ = 205255630621440. Its totient is φ = 19547627968512.

The previous prime is 68417620714453. The next prime is 68417620714493. The reversal of 68417620714464 is 46441702671486.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 68417620714398 and 68417620714407.

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, 52200792 + ... + 53495400.

It is an arithmetic number, because the mean of its divisors is an integer number (2138079485640).

Almost surely, 268417620714464 is an apocalyptic number.

It is an amenable number.

68417620714464 is an abundant number, since it is smaller than the sum of its proper divisors (136838009906976).

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

68417620714464 is a wasteful number, since it uses less digits than its factorization.

68417620714464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373272 (or 1373264 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 68417620714464 in words is "sixty-eight trillion, four hundred seventeen billion, six hundred twenty million, seven hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 78643 157286 235929 314572 471858 550501 629144 943716 1101002 1258288 1294609 1651503 1887432 2202004 2516576 2589218 3303006 3774864 3883827 4404008 5178436 6606012 7549728 7767654 8808016 9062263 10356872 13212024 15535308 17616032 18124526 20713744 26424048 27186789 31070616 36249052 41427488 52848096 54373578 62141232 72498104 108747156 124282464 144996208 217494312 289992416 434988624 869977248 101811935587 203623871174 305435806761 407247742348 610871613522 712683549109 814495484696 1221743227044 1425367098218 1628990969392 2138050647327 2443486454088 2850734196436 3257981938784 4276101294654 4886972908176 5701468392872 8552202589308 9773945816352 11402936785744 17104405178616 22805873571488 34208810357232 68417620714464