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145552544200 = 23527461225523
BaseRepresentation
bin1000011110001110011…
…0111001000111001000
3111220200210210100110101
42013203212321013020
54341042422403300
6150511012055144
713341633132550
oct2074346710710
9456623710411
10145552544200
1156801686848
12242613044b4
13109580420cb
14708ac42160
153bbd41eb6a
hex21e39b91c8

145552544200 has 96 divisors (see below), whose sum is σ = 387594567360. Its totient is φ = 49795257600.

The previous prime is 145552544177. The next prime is 145552544209. The reversal of 145552544200 is 2445255541.

It is a self number, because there is not a number n which added to its sum of digits gives 145552544200.

It is not an unprimeable number, because it can be changed into a prime (145552544209) 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, 532639 + ... + 758161.

It is an arithmetic number, because the mean of its divisors is an integer number (4037443410).

Almost surely, 2145552544200 is an apocalyptic number.

145552544200 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 145552544200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193797283680).

145552544200 is an abundant number, since it is smaller than the sum of its proper divisors (242042023160).

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

145552544200 is a wasteful number, since it uses less digits than its factorization.

145552544200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226007 (or 225998 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 37.

Adding to 145552544200 its reverse (2445255541), we get a palindrome (147997799741).

The spelling of 145552544200 in words is "one hundred forty-five billion, five hundred fifty-two million, five hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 461 700 922 1400 1844 2305 3227 3688 4610 6454 9220 11525 12908 16135 18440 23050 25816 32270 46100 64540 80675 92200 129080 161350 225523 322700 451046 645400 902092 1127615 1578661 1804184 2255230 3157322 4510460 5638075 6314644 7893305 9020920 11276150 12629288 15786610 22552300 31573220 39466525 45104600 63146440 78933050 103966103 157866100 207932206 315732200 415864412 519830515 727762721 831728824 1039661030 1455525442 2079322060 2599152575 2911050884 3638813605 4158644120 5198305150 5822101768 7277627210 10396610300 14555254420 18194068025 20793220600 29110508840 36388136050 72776272100 145552544200