Search a number
-
+
13814375568 = 2437246712577
BaseRepresentation
bin11001101110110011…
…01010010010010000
31022122202011222201120
430313121222102100
5211242440004233
610202442002240
7666222153300
oct146731522220
938582158646
1013814375568
115949944914
1228164a6380
1313c2018c36
14950997600
1555cbb84b3
hex33766a490

13814375568 has 120 divisors (see below), whose sum is σ = 41605810272. Its totient is φ = 3938199552.

The previous prime is 13814375563. The next prime is 13814375569. The reversal of 13814375568 is 86557341831.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13814375568.

It is not an unprimeable number, because it can be changed into a prime (13814375563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092096 + ... + 1104672.

Almost surely, 213814375568 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 13814375568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802905136).

13814375568 is an abundant number, since it is smaller than the sum of its proper divisors (27791434704).

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

13814375568 is a wasteful number, since it uses less digits than its factorization.

13814375568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13056 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 13814375568 in words is "thirteen billion, eight hundred fourteen million, three hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 467 588 784 934 1176 1401 1868 2352 2802 3269 3736 5604 6538 7472 9807 11208 12577 13076 19614 22416 22883 25154 26152 37731 39228 45766 50308 52304 68649 75462 78456 88039 91532 100616 137298 150924 156912 176078 183064 201232 264117 274596 301848 352156 366128 528234 549192 603696 616273 704312 1056468 1098384 1232546 1408624 1848819 2112936 2465092 3697638 4225872 4930184 5873459 7395276 9860368 11746918 14790552 17620377 23493836 29581104 35240754 41114213 46987672 70481508 82228426 93975344 123342639 140963016 164456852 246685278 281926032 287799491 328913704 493370556 575598982 657827408 863398473 986741112 1151197964 1726796946 1973482224 2302395928 3453593892 4604791856 6907187784 13814375568