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14550125200 = 2452137935419
BaseRepresentation
bin11011000110100000…
…10100101010010000
31101120000121221110221
431203100110222100
5214244313001300
610403443402424
71023365011042
oct154320245220
941500557427
1014550125200
116197191466
1229a0983414
1314ab594350
149c0599a92
155a259d31a
hex363414a90

14550125200 has 120 divisors (see below), whose sum is σ = 38123254400. Its totient is φ = 5304199680.

The previous prime is 14550125173. The next prime is 14550125201. The reversal of 14550125200 is 252105541.

It is a super-2 number, since 2×145501252002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14550125201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 393091 + ... + 428509.

Almost surely, 214550125200 is an apocalyptic number.

14550125200 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 14550125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061627200).

14550125200 is an abundant number, since it is smaller than the sum of its proper divisors (23573129200).

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

14550125200 is a wasteful number, since it uses less digits than its factorization.

14550125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35529 (or 35518 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 14550125200 in words is "fourteen billion, five hundred fifty million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 130 158 200 208 260 316 325 395 400 520 632 650 790 1027 1040 1264 1300 1580 1975 2054 2600 3160 3950 4108 5135 5200 6320 7900 8216 10270 15800 16432 20540 25675 31600 35419 41080 51350 70838 82160 102700 141676 177095 205400 283352 354190 410800 460447 566704 708380 885475 920894 1416760 1770950 1841788 2302235 2798101 2833520 3541900 3683576 4604470 5596202 7083800 7367152 9208940 11192404 11511175 13990505 14167600 18417880 22384808 23022350 27981010 36375313 36835760 44769616 46044700 55962020 69952525 72750626 92089400 111924040 139905050 145501252 181876565 184178800 223848080 279810100 291002504 363753130 559620200 582005008 727506260 909382825 1119240400 1455012520 1818765650 2910025040 3637531300 7275062600 14550125200