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13802642112 = 263719540517
BaseRepresentation
bin11001101101011001…
…11001101011000000
31022121221002212110010
430312230321223000
5211231434021422
610201342304520
7666020344050
oct146654715300
938557085403
1013802642112
115943260346
122812588140
1313bc76b36c
1494d1c1560
1555bb4bb0c
hex336b39ac0

13802642112 has 112 divisors (see below), whose sum is σ = 43933303040. Its totient is φ = 3736046592.

The previous prime is 13802642107. The next prime is 13802642143. The reversal of 13802642112 is 21124620831.

13802642112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 13802642112.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 244723 + ... + 295794.

Almost surely, 213802642112 is an apocalyptic number.

13802642112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13802642112 is an abundant number, since it is smaller than the sum of its proper divisors (30130660928).

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

13802642112 is a wasteful number, since it uses less digits than its factorization.

13802642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540558 (or 540548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13802642112 in words is "thirteen billion, eight hundred two million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 540517 1081034 1621551 2162068 3243102 3783619 4324136 6486204 7567238 8648272 10269823 11350857 12972408 15134476 17296544 20539646 22701714 25944816 30268952 30809469 34593088 41079292 45403428 51889632 60537904 61618938 71888761 82158584 90806856 103779264 121075808 123237876 143777522 164317168 181613712 215666283 242151616 246475752 287555044 328634336 363227424 431332566 492951504 575110088 657268672 726454848 862665132 985903008 1150220176 1725330264 1971806016 2300440352 3450660528 4600880704 6901321056 13802642112