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149265552200 = 235217216072
BaseRepresentation
bin1000101100000011101…
…0111001001101001000
3112021021120110200220012
42023000322321031020
54421143440132300
6152323250451052
713532640155012
oct2130072711510
9467246420805
10149265552200
11583375706a6
1224b18893a88
13110ca36b76b
14732000b1b2
153d393a5435
hex22c0eb9348

149265552200 has 108 divisors (see below), whose sum is σ = 368887057035. Its totient is φ = 56159121920.

The previous prime is 149265552199. The next prime is 149265552209. The reversal of 149265552200 is 2255562941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

149265552200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 97193050564 + 52072501636 = 311758^2 + 228194^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=273190.

It is not an unprimeable number, because it can be changed into a prime (149265552209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92883797 + ... + 92885403.

Almost surely, 2149265552200 is an apocalyptic number.

149265552200 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 149265552200

149265552200 is an abundant number, since it is smaller than the sum of its proper divisors (219621504835).

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

149265552200 is an equidigital number, since it uses as much as digits as its factorization.

149265552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 149265552200 in words is "one hundred forty-nine billion, two hundred sixty-five million, five hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1607 1700 2312 2890 3214 3400 5780 6428 7225 8035 11560 12856 14450 16070 27319 28900 32140 40175 54638 57800 64280 80350 109276 136595 160700 218552 273190 321400 464423 546380 682975 928846 1092760 1365950 1857692 2322115 2582449 2731900 3715384 4644230 5164898 5463800 9288460 10329796 11610575 12912245 18576920 20659592 23221150 25824490 43901633 46442300 51648980 64561225 87803266 92884600 103297960 129122450 175606532 219508165 258244900 351213064 439016330 516489800 746327761 878032660 1097540825 1492655522 1756065320 2195081650 2985311044 3731638805 4390163300 5970622088 7463277610 8780326600 14926555220 18658194025 29853110440 37316388050 74632776100 149265552200