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57267328680324 = 2232721801792
BaseRepresentation
bin11010000010101100101101…
…10010001000000110000100
321111202200222121012021012100
431001112112302020012010
530001231442120232244
6321444125252152100
715030266535113100
oct1501262662100604
9244680877167170
1057267328680324
1117279a350a1694
12650a960608630
1325c5394230a89
14101da7984c900
156949c4626b69
hex341596c88184

57267328680324 has 81 divisors (see below), whose sum is σ = 168394151070327. Its totient is φ = 16362003098448.

The previous prime is 57267328680313. The next prime is 57267328680343. The reversal of 57267328680324 is 42308682376275.

The square root of 57267328680324 is 7567518.

It is a perfect power (a square), and thus also a powerful number.

57267328680324 is a `hidden beast` number, since 5 + 7 + 26 + 7 + 3 + 286 + 8 + 0 + 324 = 666.

It is a super-3 number, since 3×572673286803243 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 317745667 + ... + 317925845.

Almost surely, 257267328680324 is an apocalyptic number.

57267328680324 is the 7567518-th square number.

It is an amenable number.

57267328680324 is an abundant number, since it is smaller than the sum of its proper divisors (111126822390003).

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

57267328680324 is an frugal number, since it uses more digits than its factorization.

57267328680324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360382 (or 180191 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 57267328680324 in words is "fifty-seven trillion, two hundred sixty-seven billion, three hundred twenty-eight million, six hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 180179 360358 540537 720716 1081074 1261253 1621611 2162148 2522506 3243222 3783759 5045012 6486444 7567518 8828771 11351277 15135036 17657542 22702554 26486313 35315084 45405108 52972626 79458939 105945252 158917878 317835756 32464472041 64928944082 97393416123 129857888164 194786832246 227251304287 292180248369 389573664492 454502608574 584360496738 681753912861 909005217148 1168720993476 1363507825722 1590759130009 2045261738583 2727015651444 3181518260018 4090523477166 4772277390027 6363036520036 8181046954332 9544554780054 14316832170081 19089109560108 28633664340162 57267328680324