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13662633140 = 2251369617549
BaseRepresentation
bin11001011100101101…
…10011110010110100
31022021011122200020122
430232112303302310
5210440113230030
610135421351112
7662400315452
oct145626636264
938234580218
1013662633140
115881222552
122793708498
131399759c10
149387779d2
1554e6e28e5
hex32e5b3cb4

13662633140 has 48 divisors (see below), whose sum is σ = 30907102800. Its totient is φ = 5043271680.

The previous prime is 13662633077. The next prime is 13662633157. The reversal of 13662633140 is 4133626631.

It can be written as a sum of positive squares in 8 ways, for example, as 63808144 + 13598824996 = 7988^2 + 116614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13662633140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806086 + ... + 1813634.

It is an arithmetic number, because the mean of its divisors is an integer number (643897975).

Almost surely, 213662633140 is an apocalyptic number.

13662633140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13662633140 is an abundant number, since it is smaller than the sum of its proper divisors (17244469660).

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

13662633140 is a wasteful number, since it uses less digits than its factorization.

13662633140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 13662633140 in words is "thirteen billion, six hundred sixty-two million, six hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 6961 7549 13922 15098 27844 30196 34805 37745 69610 75490 90493 98137 139220 150980 180986 196274 361972 392548 452465 490685 904930 981370 1809860 1962740 52548589 105097178 210194356 262742945 525485890 683131657 1050971780 1366263314 2732526628 3415658285 6831316570 13662633140