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13971949208 = 2372910198443
BaseRepresentation
bin11010000001100101…
…10000011010011000
31100001201200120010022
431000302300122120
5212103304333313
610230231210012
71003144415540
oct150062603230
940051616108
1013971949208
115a1a88a268
12285b216908
13141886a189
14967894320
1556b941c08
hex340cb0698

13971949208 has 64 divisors (see below), whose sum is σ = 31006368000. Its totient is φ = 5775138432.

The previous prime is 13971949183. The next prime is 13971949253. The reversal of 13971949208 is 80294917931.

It is a Cunningham number, because it is equal to 1182032-1.

It is a self number, because there is not a number n which added to its sum of digits gives 13971949208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650635 + ... + 1659077.

It is an arithmetic number, because the mean of its divisors is an integer number (484474500).

Almost surely, 213971949208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13971949208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503184000).

13971949208 is an abundant number, since it is smaller than the sum of its proper divisors (17034418792).

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

13971949208 is a wasteful number, since it uses less digits than its factorization.

13971949208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 13971949208 in words is "thirteen billion, nine hundred seventy-one million, nine hundred forty-nine thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1019 1624 2038 4076 7133 8152 8443 14266 16886 28532 29551 33772 57064 59101 59102 67544 118202 118204 206857 236404 236408 244847 413714 472808 489694 827428 979388 1654856 1713929 1958776 3427858 6855716 8603417 13711432 17206834 34413668 60223919 68827336 120447838 240895676 249499093 481791352 498998186 997996372 1746493651 1995992744 3492987302 6985974604 13971949208