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149762638200 = 23352759604369
BaseRepresentation
bin1000101101111010001…
…1001000000101111000
3112022120012211021200210
42023132203020011320
54423203213410300
6152444445031120
713551154264230
oct2133643100570
9468505737623
10149762638200
115857211777a
12250372554a0
13111793433a6
14736a044cc0
153d67d45050
hex22de8c8178

149762638200 has 192 divisors, whose sum is σ = 539581536000. Its totient is φ = 33651210240.

The previous prime is 149762638199. The next prime is 149762638231. The reversal of 149762638200 is 2836267941.

It is a self number, because there is not a number n which added to its sum of digits gives 149762638200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54385 + ... + 549984.

It is an arithmetic number, because the mean of its divisors is an integer number (2810320500).

Almost surely, 2149762638200 is an apocalyptic number.

149762638200 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 149762638200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269790768000).

149762638200 is an abundant number, since it is smaller than the sum of its proper divisors (389818897800).

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

149762638200 is a wasteful number, since it uses less digits than its factorization.

149762638200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604454 (or 604445 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 149762638200 in words is "one hundred forty-nine billion, seven hundred sixty-two million, six hundred thirty-eight thousand, two hundred".