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64133319120 = 24351320555551
BaseRepresentation
bin111011101110101001…
…001100100111010000
320010112120011011122120
4323232221030213100
52022321112202440
645243515334240
74430166134523
oct735651144720
9203476134576
1064133319120
112522064a982
121051a151380
136080b8a050
1431657ccbba
151a0555edd0
hexeeea4c9d0

64133319120 has 80 divisors (see below), whose sum is σ = 214106629632. Its totient is φ = 15786662400.

The previous prime is 64133319119. The next prime is 64133319149. The reversal of 64133319120 is 2191333146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×641333191202 (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10274656 + ... + 10280895.

Almost surely, 264133319120 is an apocalyptic number.

64133319120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64133319120 is an abundant number, since it is smaller than the sum of its proper divisors (149973310512).

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

64133319120 is a wasteful number, since it uses less digits than its factorization.

64133319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20555580 (or 20555574 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 64133319120 in words is "sixty-four billion, one hundred thirty-three million, three hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 20555551 41111102 61666653 82222204 102777755 123333306 164444408 205555510 246666612 267222163 308333265 328888816 411111020 493333224 534444326 616666530 801666489 822222040 986666448 1068888652 1233333060 1336110815 1603332978 1644444080 2137777304 2466666120 2672221630 3206665956 4008332445 4275554608 4933332240 5344443260 6413331912 8016664890 10688886520 12826663824 16033329780 21377773040 32066659560 64133319120