Search a number
-
+
14426465664 = 2731310926513
BaseRepresentation
bin11010110111110001…
…00110010110000000
31101020101221101111010
431123320212112000
5214021133400124
610343305120520
71020333635442
oct153370462600
941211841433
1014426465664
1161334001a6
122967489140
13148ba88820
149abdaa492
155967c3529
hex35be26580

14426465664 has 128 divisors (see below), whose sum is σ = 41648191200. Its totient is φ = 4398022656.

The previous prime is 14426465623. The next prime is 14426465681. The reversal of 14426465664 is 46656462441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530872 + ... + 557384.

Almost surely, 214426465664 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 14426465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824095600).

14426465664 is an abundant number, since it is smaller than the sum of its proper divisors (27221725536).

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

14426465664 is a wasteful number, since it uses less digits than its factorization.

14426465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26652 (or 26640 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 14426465664 in words is "fourteen billion, four hundred twenty-six million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 312 327 384 416 436 624 654 832 872 1248 1308 1417 1664 1744 2496 2616 2834 3488 4251 4992 5232 5668 6976 8502 10464 11336 13952 17004 20928 22672 26513 34008 41856 45344 53026 68016 79539 90688 106052 136032 159078 181376 212104 272064 318156 344669 424208 544128 636312 689338 848416 1034007 1272624 1378676 1696832 2068014 2545248 2757352 2889917 3393664 4136028 5090496 5514704 5779834 8272056 8669751 10180992 11029408 11559668 16544112 17339502 22058816 23119336 33088224 34679004 37568921 44117632 46238672 66176448 69358008 75137842 92477344 112706763 132352896 138716016 150275684 184954688 225413526 277432032 300551368 369909376 450827052 554864064 601102736 901654104 1109728128 1202205472 1803308208 2404410944 3606616416 4808821888 7213232832 14426465664