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13687965225 = 3552111712049
BaseRepresentation
bin11001011111101110…
…11100011000101001
31022022221022200100000
430233313130120221
5211013104341400
610142124333213
7663125533104
oct145767343051
938287280300
1013687965225
115894554960
1227a00a4209
1313a1a8930c
1493bc8d73b
15551a48600
hex32fddc629

13687965225 has 144 divisors (see below), whose sum is σ = 29369995200. Its totient is φ = 6245683200.

The previous prime is 13687965223. The next prime is 13687965227. The reversal of 13687965225 is 52256978631.

13687965225 is a `hidden beast` number, since 1 + 36 + 87 + 9 + 6 + 522 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13687965223) and next prime (13687965227).

It is not a de Polignac number, because 13687965225 - 21 = 13687965223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13687965223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1130001 + ... + 1142049.

It is an arithmetic number, because the mean of its divisors is an integer number (203958300).

Almost surely, 213687965225 is an apocalyptic number.

13687965225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13687965225 is an abundant number, since it is smaller than the sum of its proper divisors (15682029975).

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

13687965225 is a wasteful number, since it uses less digits than its factorization.

13687965225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12085 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 13687965225 in words is "thirteen billion, six hundred eighty-seven million, nine hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 81 85 99 135 153 165 187 225 243 255 275 297 405 425 459 495 561 675 765 825 891 935 1215 1275 1377 1485 1683 2025 2295 2475 2673 2805 3825 4131 4455 4675 5049 6075 6885 7425 8415 11475 12049 13365 14025 15147 20655 22275 25245 34425 36147 42075 45441 60245 66825 75735 103275 108441 126225 132539 180735 204833 227205 301225 325323 378675 397617 542205 614499 662695 903675 975969 1024165 1136025 1192851 1626615 1843497 1988085 2253163 2711025 2927907 3072495 3313475 3578553 4879845 5120825 5530491 5964255 6759489 8133075 9217485 9940425 10735659 11265815 14639535 15362475 16591473 17892765 20278467 24399225 27652455 29821275 32206977 33797445 46087425 49774419 53678295 56329075 60835401 73197675 82957365 89463825 101392335 138262275 161034885 168987225 182506203 248872095 268391475 304177005 414786825 506961675 547518609 805174425 912531015 1244360475 1520885025 2737593045 4562655075 13687965225