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149826374208 = 26327178920771
BaseRepresentation
bin1000101110001001011…
…0010000101001000000
3112022201122202102001200
42023202112100221000
54423321022433313
6152455043101200
713552560111420
oct2134226205100
9468648672050
10149826374208
11585a509a565
1225054671800
13111895ca9c4
1473746b6480
153d6d734b73
hex22e2590a40

149826374208 has 168 divisors, whose sum is σ = 491098271040. Its totient is φ = 42781547520.

The previous prime is 149826374197. The next prime is 149826374231. The reversal of 149826374208 is 802473628941.

149826374208 is a `hidden beast` number, since 1 + 49 + 8 + 26 + 374 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 7202863 + ... + 7223633.

Almost surely, 2149826374208 is an apocalyptic number.

149826374208 is a gapful number since it is divisible by the number (18) 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 149826374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245549135520).

149826374208 is an abundant number, since it is smaller than the sum of its proper divisors (341271896832).

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

149826374208 is a wasteful number, since it uses less digits than its factorization.

149826374208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 149826374208 in words is "one hundred forty-nine billion, eight hundred twenty-six million, three hundred seventy-four thousand, two hundred eight".