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12952665088320 = 263513492359467
BaseRepresentation
bin1011110001111100011100…
…0000000110000101000000
31200212021002111111212112110
42330133013000012011000
53144204024230311240
643314212221055320
72504541054445416
oct274370700060500
950767074455473
1012952665088320
114144215848a81
1215523913b7540
1372c57b0ca639
1432acab63b2b6
15176dddc7cc80
hexbc7c7006140

12952665088320 has 56 divisors (see below), whose sum is σ = 41124711658464. Its totient is φ = 3454044023296.

The previous prime is 12952665088301. The next prime is 12952665088327. The reversal of 12952665088320 is 2388056625921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12952665088327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6746178774 + ... + 6746180693.

It is an arithmetic number, because the mean of its divisors is an integer number (734369851044).

Almost surely, 212952665088320 is an apocalyptic number.

12952665088320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12952665088320 is an abundant number, since it is smaller than the sum of its proper divisors (28172046570144).

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

12952665088320 is a wasteful number, since it uses less digits than its factorization.

12952665088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13492359487 (or 13492359477 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 12952665088320 in words is "twelve trillion, nine hundred fifty-two billion, six hundred sixty-five million, eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13492359467 26984718934 40477078401 53969437868 67461797335 80954156802 107938875736 134923594670 161908313604 202385392005 215877751472 269847189340 323816627208 404770784010 431755502944 539694378680 647633254416 809541568020 863511005888 1079388757360 1295266508832 1619083136040 2158777514720 2590533017664 3238166272080 4317555029440 6476332544160 12952665088320