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14456552000 = 265311164279
BaseRepresentation
bin11010111011010110…
…10111101001000000
31101022111112221011212
431131223113221000
5214101334131000
610350302025252
71021150443632
oct153553275100
941274487155
1014456552000
11614938a540
122975578228
131495090ba7
149b1d9ca52
15599267c35
hex35dad7a40

14456552000 has 112 divisors (see below), whose sum is σ = 39056584320. Its totient is φ = 5256896000.

The previous prime is 14456551999. The next prime is 14456552009. The reversal of 14456552000 is 25565441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14456552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5861 + ... + 170139.

Almost surely, 214456552000 is an apocalyptic number.

14456552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14456552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528292160).

14456552000 is an abundant number, since it is smaller than the sum of its proper divisors (24600032320).

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

14456552000 is a wasteful number, since it uses less digits than its factorization.

14456552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164317 (or 164297 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 14456552000 in words is "fourteen billion, four hundred fifty-six million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 164279 328558 657116 821395 1314232 1642790 1807069 2628464 3285580 3614138 4106975 5256928 6571160 7228276 8213950 9035345 10513856 13142320 14456552 16427900 18070690 20534875 26284640 28913104 32855800 36141380 41069750 45176725 52569280 57826208 65711600 72282760 82139500 90353450 115652416 131423200 144565520 164279000 180706900 225883625 262846400 289131040 328558000 361413800 451767250 578262080 657116000 722827600 903534500 1314232000 1445655200 1807069000 2891310400 3614138000 7228276000 14456552000