Search a number
-
+
12624245446704 = 24316711091420091
BaseRepresentation
bin1011011110110100111110…
…1010100101100000110000
31122200212101101000110120020
42313231033222211200300
53123313423313243304
642503255344243440
72442033366530043
oct267551752454060
948625341013506
1012624245446704
114027a04494361
1214ba7b6310580
137075cc453458
14319033d10c5a
1516d5bb5b45d9
hexb7b4faa5830

12624245446704 has 80 divisors (see below), whose sum is σ = 32837525763840. Its totient is φ = 4179109016320.

The previous prime is 12624245446691. The next prime is 12624245446717. The reversal of 12624245446704 is 40764454242621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12624245446691) and next prime (12624245446717).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8179699 + ... + 9599789.

It is an arithmetic number, because the mean of its divisors is an integer number (410469072048).

Almost surely, 212624245446704 is an apocalyptic number.

It is an amenable number.

12624245446704 is an abundant number, since it is smaller than the sum of its proper divisors (20213280317136).

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

12624245446704 is a wasteful number, since it uses less digits than its factorization.

12624245446704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421378 (or 1421372 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 51.

The spelling of 12624245446704 in words is "twelve trillion, six hundred twenty-four billion, two hundred forty-five million, four hundred forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1109 1336 2004 2218 2672 3327 4008 4436 6654 8016 8872 13308 17744 26616 53232 185203 370406 555609 740812 1111218 1420091 1481624 2222436 2840182 2963248 4260273 4444872 5680364 8520546 8889744 11360728 17041092 22721456 34082184 68164368 237155197 474310394 711465591 948620788 1422931182 1574880919 1897241576 2845862364 3149761838 3794483152 4724642757 5691724728 6299523676 9449285514 11383449456 12599047352 18898571028 25198094704 37797142056 75594284112 263005113473 526010226946 789015340419 1052020453892 1578030680838 2104040907784 3156061361676 4208081815568 6312122723352 12624245446704