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57424174653120 = 2635115437895327
BaseRepresentation
bin11010000111010000110111…
…00010000001111011000000
321112022200211110120020020220
431003220123202001323000
530011314202202344440
6322044145053503040
715044521402641522
oct1503503342017300
9245280743506226
1057424174653120
111732a5016014a0
126535233aa1a80
1326070cbc071c2
1410274b8503a12
15698b042478d0
hex343a1b881ec0

57424174653120 has 112 divisors (see below), whose sum is σ = 198896459516928. Its totient is φ = 13921012034560.

The previous prime is 57424174653113. The next prime is 57424174653121. The reversal of 57424174653120 is 2135647142475.

It is not an unprimeable number, because it can be changed into a prime (57424174653121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718937104 + ... + 2718958223.

Almost surely, 257424174653120 is an apocalyptic number.

It is an amenable number.

57424174653120 is an abundant number, since it is smaller than the sum of its proper divisors (141472284863808).

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

57424174653120 is a wasteful number, since it uses less digits than its factorization.

57424174653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437895358 (or 5437895348 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 57424174653120 in words is "fifty-seven trillion, four hundred twenty-four billion, one hundred seventy-four million, six hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 5437895327 10875790654 16313685981 21751581308 27189476635 32627371962 43503162616 54378953270 59816848597 65254743924 81568429905 87006325232 108757906540 119633697194 130509487848 163136859810 174012650464 179450545791 217515813080 239267394388 261018975696 299084242985 326273719620 348025300928 358901091582 435031626160 478534788776 522037951392 598168485970 652547439240 717802183164 870063252320 897252728955 957069577552 1044075902784 1196336971940 1305094878480 1435604366328 1740126504640 1794505457910 1914139155104 2392673943880 2610189756960 2871208732656 3589010915820 3828278310208 4785347887760 5220379513920 5742417465312 7178021831640 9570695775520 11484834930624 14356043663280 19141391551040 28712087326560 57424174653120