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64314121560 = 233513251164251
BaseRepresentation
bin111011111001011010…
…111001110101011000
320011000011100212222020
4323321122321311120
52023203403342220
645313454454440
74434523004403
oct737132716530
9204004325866
1064314121560
1125303710487
121056a804420
1360ac482240
143181814d3a
151a16376040
hexef96b9d58

64314121560 has 128 divisors (see below), whose sum is σ = 208613180160. Its totient is φ = 15768000000.

The previous prime is 64314121559. The next prime is 64314121561. The reversal of 64314121560 is 6512141346.

It is an interprime number because it is at equal distance from previous prime (64314121559) and next prime (64314121561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314121561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309435 + ... + 473685.

It is an arithmetic number, because the mean of its divisors is an integer number (1629790470).

Almost surely, 264314121560 is an apocalyptic number.

64314121560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64314121560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104306590080).

64314121560 is an abundant number, since it is smaller than the sum of its proper divisors (144299058600).

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

64314121560 is a wasteful number, since it uses less digits than its factorization.

64314121560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164529 (or 164525 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 64314121560 in words is "sixty-four billion, three hundred fourteen million, one hundred twenty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 251 260 312 390 502 520 753 780 1004 1255 1506 1560 2008 2510 3012 3263 3765 5020 6024 6526 7530 9789 10040 13052 15060 16315 19578 26104 30120 32630 39156 48945 65260 78312 97890 130520 164251 195780 328502 391560 492753 657004 821255 985506 1314008 1642510 1971012 2135263 2463765 3285020 3942024 4270526 4927530 6405789 6570040 8541052 9855060 10676315 12811578 17082104 19710120 21352630 25623156 32028945 41227001 42705260 51246312 64057890 82454002 85410520 123681003 128115780 164908004 206135005 247362006 256231560 329816008 412270010 494724012 535951013 618405015 824540020 989448024 1071902026 1236810030 1607853039 1649080040 2143804052 2473620060 2679755065 3215706078 4287608104 4947240120 5359510130 6431412156 8039265195 10719020260 12862824312 16078530390 21438040520 32157060780 64314121560