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54013124377602 = 23213267801261881
BaseRepresentation
bin11000100011111111010010…
…00101110111110000000010
321002020121022111200102112100
430101333221011313300002
524034422334320040402
6310513141540211230
714243214400664625
oct1421775105676002
9232217274612470
1054013124377602
1116234923656915
126084132099b16
13241a5535baa00
14d4a36ba0bdbc
1563a012e3971c
hex311fe9177c02

54013124377602 has 72 divisors (see below), whose sum is σ = 126725452448868. Its totient is φ = 16619114304000.

The previous prime is 54013124377519. The next prime is 54013124377603. The reversal of 54013124377602 is 20677342131045.

It is a happy number.

54013124377602 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 1 + 2 + 4 + 37 + 7 + 602 = 666.

54013124377602 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15592081639761 + 38421042737841 = 3948681^2 + 6198471^2 .

It is not an unprimeable number, because it can be changed into a prime (54013124377603) 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 35 ways as a sum of consecutive naturals, for example, 206119702 + ... + 206381582.

Almost surely, 254013124377602 is an apocalyptic number.

54013124377602 is an abundant number, since it is smaller than the sum of its proper divisors (72712328071266).

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

54013124377602 is a wasteful number, since it uses less digits than its factorization.

54013124377602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329716 (or 329700 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 54013124377602 in words is "fifty-four trillion, thirteen billion, one hundred twenty-four million, three hundred seventy-seven thousand, six hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 67801 135602 203403 261881 406806 523762 610209 785643 881413 1220418 1571286 1762826 2356929 2644239 3404453 4713858 5288478 6808906 7932717 10213359 11458369 15865434 20426718 22916738 30640077 34375107 44257889 61280154 68750214 88515778 103125321 132773667 206250642 265547334 398321001 796642002 17755793681 35511587362 53267381043 106534762086 159802143129 230825317853 319604286258 461650635706 692475953559 1384951907118 2077427860677 3000729132089 4154855721354 6001458264178 9002187396267 18004374792534 27006562188801 54013124377602