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149550939360 = 253351737471171
BaseRepresentation
bin1000101101000111101…
…1100011110011100000
3112022000110110212111000
42023101323203303200
54422240020024420
6152411443352000
713543004003364
oct2132173436340
9468013425430
10149550939360
1158473674259
1224b98382600
13111445211c4
147349c992a4
153d54479690
hex22d1ee3ce0

149550939360 has 768 divisors, whose sum is σ = 581804052480. Its totient is φ = 35712368640.

The previous prime is 149550939353. The next prime is 149550939379. The reversal of 149550939360 is 63939055941.

149550939360 is a `hidden beast` number, since 1 + 49 + 5 + 509 + 3 + 93 + 6 + 0 = 666.

149550939360 is digitally balanced in base 2, because in such base 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 149550939297 and 149550939306.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 127711575 + ... + 127712745.

It is an arithmetic number, because the mean of its divisors is an integer number (757557360).

Almost surely, 2149550939360 is an apocalyptic number.

149550939360 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 149550939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290902026240).

149550939360 is an abundant number, since it is smaller than the sum of its proper divisors (432253113120).

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

149550939360 is a wasteful number, since it uses less digits than its factorization.

149550939360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 149550939360 in words is "one hundred forty-nine billion, five hundred fifty million, nine hundred thirty-nine thousand, three hundred sixty".