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12978003104 = 2511219916843
BaseRepresentation
bin11000001011000110…
…01001110010100000
31020111110101212101122
430011203021302200
5203034332044404
65543443351412
7636415130513
oct140543116240
936443355348
1012978003104
11555a820900
122622382568
1312ba96c6a1
148b1880d7a
1550e5593be
hex3058c9ca0

12978003104 has 72 divisors (see below), whose sum is σ = 28227175200. Its totient is φ = 5869100160.

The previous prime is 12978003061. The next prime is 12978003119. The reversal of 12978003104 is 40130087921.

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 11 ways as a sum of consecutive naturals, for example, 762107 + ... + 778949.

It is an arithmetic number, because the mean of its divisors is an integer number (392044100).

Almost surely, 212978003104 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 12978003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113587600).

12978003104 is an abundant number, since it is smaller than the sum of its proper divisors (15249172096).

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

12978003104 is a wasteful number, since it uses less digits than its factorization.

12978003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17074 (or 17055 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 12978003104 in words is "twelve billion, nine hundred seventy-eight million, three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 199 242 352 398 484 796 968 1592 1936 2189 3184 3872 4378 6368 8756 16843 17512 24079 33686 35024 48158 67372 70048 96316 134744 185273 192632 269488 370546 385264 538976 741092 770528 1482184 2038003 2964368 3351757 4076006 5928736 6703514 8152012 13407028 16304024 26814056 32608048 36869327 53628112 65216096 73738654 107256224 147477308 294954616 405562597 589909232 811125194 1179818464 1622250388 3244500776 6489001552 12978003104