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149691366000 = 243253112413137
BaseRepresentation
bin1000101101101001001…
…1001111101001110000
3112022101020201021121200
42023122103033221300
54423031442203000
6152433421251200
713546330421451
oct2133223175160
9468336637550
10149691366000
1158535967930
1225017403b00
131116764a7a7
1473607b1128
153d61967500
hex22da4cfa70

149691366000 has 480 divisors, whose sum is σ = 572900492736. Its totient is φ = 36126720000.

The previous prime is 149691365983. The next prime is 149691366001. The reversal of 149691366000 is 663196941.

149691366000 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 9 + 1 + 36 + 600 + 0 = 666.

149691366000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149691366001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47716432 + ... + 47719568.

Almost surely, 2149691366000 is an apocalyptic number.

149691366000 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 149691366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286450246368).

149691366000 is an abundant number, since it is smaller than the sum of its proper divisors (423209126736).

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

149691366000 is a wasteful number, since it uses less digits than its factorization.

149691366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 149691366000 in words is "one hundred forty-nine billion, six hundred ninety-one million, three hundred sixty-six thousand".