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12987646520 = 2352916216907
BaseRepresentation
bin11000001100001111…
…11100001000111000
31020112010112210200012
430012013330020320
5203044314142040
65544430201052
7636563113442
oct140607741070
936463483605
1012987646520
115565208072
122625653188
1312bc967b54
148b2c71492
15510311865
hex3061fc238

12987646520 has 64 divisors (see below), whose sum is σ = 30252895200. Its totient is φ = 5012098560.

The previous prime is 12987646489. The next prime is 12987646541. The reversal of 12987646520 is 2564678921.

It is a super-2 number, since 2×129876465202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876907 + ... + 1883813.

Almost surely, 212987646520 is an apocalyptic number.

12987646520 is a gapful number since it is divisible by the number (10) 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 12987646520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126447600).

12987646520 is an abundant number, since it is smaller than the sum of its proper divisors (17265248680).

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

12987646520 is a wasteful number, since it uses less digits than its factorization.

12987646520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 12987646520 in words is "twelve billion, nine hundred eighty-seven million, six hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1621 3242 6484 6907 8105 12968 13814 16210 27628 32420 34535 47009 55256 64840 69070 94018 138140 188036 200303 235045 276280 376072 400606 470090 801212 940180 1001515 1602424 1880360 2003030 4006060 8012120 11196247 22392494 44784988 55981235 89569976 111962470 223924940 324691163 447849880 649382326 1298764652 1623455815 2597529304 3246911630 6493823260 12987646520