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54171722889414 = 23213614398644949
BaseRepresentation
bin11000101000100110101100…
…10011001011100011000110
321002210202200111202121011100
430110103112103023203012
524100022142024430124
6311114051304520530
714260530536046504
oct1424232623134306
9232722614677140
1054171722889414
111629610a354179
1260aaa14480146
13242c4aa3a7680
14d53cd5343674
1563e1e683b1c9
hex3144d64cb8c6

54171722889414 has 96 divisors (see below), whose sum is σ = 128765492856000. Its totient is φ = 16357624807680.

The previous prime is 54171722889409. The next prime is 54171722889439. The reversal of 54171722889414 is 41498822717145.

It is a happy number.

54171722889414 is a `hidden beast` number, since 5 + 4 + 1 + 71 + 72 + 2 + 8 + 89 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943812 + ... + 10588760.

It is an arithmetic number, because the mean of its divisors is an integer number (1341307217250).

Almost surely, 254171722889414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54171722889414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64382746428000).

54171722889414 is an abundant number, since it is smaller than the sum of its proper divisors (74593769966586).

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

54171722889414 is a wasteful number, since it uses less digits than its factorization.

54171722889414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645470 (or 8645467 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 54171722889414 in words is "fifty-four trillion, one hundred seventy-one billion, seven hundred twenty-two million, eight hundred eighty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 439 549 793 878 1098 1317 1586 2379 2634 3951 4758 5707 7137 7902 11414 14274 17121 26779 34242 51363 53558 80337 102726 160674 241011 348127 482022 696254 1044381 2088762 3133143 6266286 8644949 17289898 25934847 51869694 77804541 112384337 155609082 224768674 337153011 527341889 674306022 1011459033 1054683778 1582025667 2022918066 3164051334 3795132611 4746077001 6855444557 7590265222 9492154002 11385397833 13710889114 20566333671 22770795666 34156193499 41132667342 49336723943 61699001013 68312386998 98673447886 123398002026 148010171829 231503089271 296020343658 444030515487 463006178542 694509267813 888061030974 1389018535626 2083527803439 3009540160523 4167055606878 6019080321046 9028620481569 18057240963138 27085861444707 54171722889414