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513425413432540 = 225719243236251007
BaseRepresentation
bin111010010111101010010101…
…1011000101110010011011100
32111022212222201211111200100001
41310233110223120232103130
51014243430221314320130
65015544213452344044
7213100522241310340
oct16457245330562334
92438788654450301
10513425413432540
11139658549a00974
1249701350175024
1319063a68a5928b
1490adccb88b620
153e5558eab96ca
hex1d2f52b62e4dc

513425413432540 has 144 divisors (see below), whose sum is σ = 1330731997765632. Its totient is φ = 162888453608832.

The previous prime is 513425413432517. The next prime is 513425413432609. The reversal of 513425413432540 is 45234314524315.

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 47 ways as a sum of consecutive naturals, for example, 115952284 + ... + 120298723.

It is an arithmetic number, because the mean of its divisors is an integer number (9241194428928).

Almost surely, 2513425413432540 is an apocalyptic number.

It is an amenable number.

513425413432540 is an abundant number, since it is smaller than the sum of its proper divisors (817306584333092).

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

513425413432540 is a wasteful number, since it uses less digits than its factorization.

513425413432540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236251104 (or 236251083 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

Adding to 513425413432540 its reverse (45234314524315), we get a palindrome (558659727956855).

The spelling of 513425413432540 in words is "five hundred thirteen trillion, four hundred twenty-five billion, four hundred thirteen million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 70 76 86 95 133 140 172 190 215 266 301 361 380 430 532 602 665 722 817 860 1204 1330 1444 1505 1634 1805 2527 2660 3010 3268 3610 4085 5054 5719 6020 7220 8170 10108 11438 12635 15523 16340 22876 25270 28595 31046 50540 57190 62092 77615 108661 114380 155230 217322 310460 434644 543305 1086610 2173220 236251007 472502014 945004028 1181255035 1653757049 2362510070 3307514098 4488769133 4725020140 6615028196 8268785245 8977538266 10158793301 16537570490 17955076532 20317586602 22443845665 31421383931 33075140980 40635173204 44887691330 50793966505 62842767862 71111553107 85286613527 89775382660 101587933010 125685535724 142223106214 157106919655 170573227054 193017072719 203175866020 284446212428 314213839310 341146454108 355557765535 386034145438 426433067635 597006294689 628427678620 711115531070 772068290876 852866135270 965085363595 1194012589378 1351119509033 1422231062140 1705732270540 1930170727190 2388025178756 2702239018066 2985031473445 3667324381661 3860341454380 5404478036132 5970062946890 6755597545165 7334648763322 11940125893780 13511195090330 14669297526644 18336621908305 25671270671627 27022390180660 36673243816610 51342541343254 73346487633220 102685082686508 128356353358135 256712706716270 513425413432540