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57543711150016 = 2671367147469327
BaseRepresentation
bin11010001010101111100000…
…11101100100111111000000
321112202010101011120110000201
431011113300131210333000
530020244010023300031
6322215114351454544
715056252543255110
oct1505276035447700
9245663334513021
1057543711150016
11173761728678a3
126554434527454
13261546c077680
14102d1b8075040
1569bc9d693d61
hex3455f0764fc0

57543711150016 has 112 divisors (see below), whose sum is σ = 142637053060096. Its totient is φ = 22424775588864.

The previous prime is 57543711149993. The next prime is 57543711150071. The reversal of 57543711150016 is 61005111734575.

57543711150016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×575437111500162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73344456 + ... + 74124871.

It is an arithmetic number, because the mean of its divisors is an integer number (1273545116608).

Almost surely, 257543711150016 is an apocalyptic number.

57543711150016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57543711150016 is an abundant number, since it is smaller than the sum of its proper divisors (85093341910080).

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

57543711150016 is a wasteful number, since it uses less digits than its factorization.

57543711150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147469426 (or 147469416 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 46.

The spelling of 57543711150016 in words is "fifty-seven trillion, five hundred forty-three billion, seven hundred eleven million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 67 91 104 112 134 182 208 224 268 364 416 448 469 536 728 832 871 938 1072 1456 1742 1876 2144 2912 3484 3752 4288 5824 6097 6968 7504 12194 13936 15008 24388 27872 30016 48776 55744 97552 195104 390208 147469327 294938654 589877308 1032285289 1179754616 1917101251 2064570578 2359509232 3834202502 4129141156 4719018464 7668405004 8258282312 9438036928 9880444909 13419708757 15336810008 16516564624 19760889818 26839417514 30673620016 33033129248 39521779636 53678835028 61347240032 66066258496 69163114363 79043559272 107357670056 122694480064 128445783817 138326228726 158087118544 214715340112 256891567634 276652457452 316174237088 429430680224 513783135268 553304914904 632348474176 858861360448 899120486719 1027566270536 1106609829808 1798240973438 2055132541072 2213219659616 3596481946876 4110265082144 4426439319232 7192963893752 8220530164288 14385927787504 28771855575008 57543711150016