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57135103331064 = 233111492417600947
BaseRepresentation
bin11001111110110110011011…
…00010011100101011111000
321111022001200120212120021120
430333123031202130223320
524442100142423043224
6321303300520105240
715014606060151033
oct1477331542345370
9244261616776246
1057135103331064
1117228952359740
1264a91ba605220
1325b5a812c0745
1410174d49c801a
1569133623a779
hex33f6cd89caf8

57135103331064 has 128 divisors (see below), whose sum is σ = 156933964512000. Its totient is φ = 17190324746240.

The previous prime is 57135103331039. The next prime is 57135103331099. The reversal of 57135103331064 is 46013330153175.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94774639 + ... + 95375585.

It is an arithmetic number, because the mean of its divisors is an integer number (1226046597750).

Almost surely, 257135103331064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57135103331064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78466982256000).

57135103331064 is an abundant number, since it is smaller than the sum of its proper divisors (99798861180936).

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

57135103331064 is a wasteful number, since it uses less digits than its factorization.

57135103331064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603533 (or 603529 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 57135103331064 in words is "fifty-seven trillion, one hundred thirty-five billion, one hundred three million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1639 1788 2417 3278 3576 4834 4917 6556 7251 9668 9834 13112 14502 19336 19668 26587 29004 39336 53174 58008 79761 106348 159522 212696 319044 360133 600947 638088 720266 1080399 1201894 1440532 1802841 2160798 2403788 2881064 3605682 3961463 4321596 4807576 6610417 7211364 7922926 8643192 11884389 13220834 14422728 15845852 19831251 23768778 26441668 31691704 39662502 47537556 52883336 79325004 89541103 95075112 158650008 179082206 268623309 358164412 537246618 716328824 984952133 1074493236 1452488899 1969904266 2148986472 2904977798 2954856399 3939808532 4357466697 5809955596 5909712798 7879617064 8714933394 11619911192 11819425596 15977377889 17429866788 23638851192 31954755778 34859733576 47932133667 63909511556 95864267334 127819023112 191728534668 216420845951 383457069336 432841691902 649262537853 865683383804 1298525075706 1731366767608 2380629305461 2597050151412 4761258610922 5194100302824 7141887916383 9522517221844 14283775832766 19045034443688 28567551665532 57135103331064