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149398937600 = 2135211174783
BaseRepresentation
bin1000101100100011011…
…1101110000000000000
3112021121212110101021012
42023020313232000000
54421432112000400
6152344413420052
713536150005513
oct2131067560000
9467555411235
10149398937600
11583a5895070
1224b5549a628
131111bba1133
147333a0cd7a
153d45e51d35
hex22c8dee000

149398937600 has 672 divisors, whose sum is σ = 442312690176. Its totient is φ = 49440358400.

The previous prime is 149398937599. The next prime is 149398937603. The reversal of 149398937600 is 6739893941.

It is a self number, because there is not a number n which added to its sum of digits gives 149398937600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149398937603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799987159 + ... + 1799987241.

It is an arithmetic number, because the mean of its divisors is an integer number (658203408).

Almost surely, 2149398937600 is an apocalyptic number.

149398937600 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 149398937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221156345088).

149398937600 is an abundant number, since it is smaller than the sum of its proper divisors (292913752576).

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

149398937600 is a wasteful number, since it uses less digits than its factorization.

149398937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 59.

The spelling of 149398937600 in words is "one hundred forty-nine billion, three hundred ninety-eight million, nine hundred thirty-seven thousand, six hundred".