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148989789936 = 243313315367241
BaseRepresentation
bin1000101011000001111…
…0111100011011110000
3112020120100120112012000
42022300132330123300
54420112341234221
6152240040134000
713523051214261
oct2126036743360
9466510515160
10148989789936
11582059413a9
1224a60467300
13110851a8c20
1472d5546968
153d20082e26
hex22b07bc6f0

148989789936 has 640 divisors, whose sum is σ = 493648404480. Its totient is φ = 42699571200.

The previous prime is 148989789931. The next prime is 148989789937. The reversal of 148989789936 is 639987989841.

148989789936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148989789931) 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 127 ways as a sum of consecutive naturals, for example, 618214776 + ... + 618215016.

It is an arithmetic number, because the mean of its divisors is an integer number (771325632).

Almost surely, 2148989789936 is an apocalyptic number.

148989789936 is a gapful number since it is divisible by the number (16) 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 148989789936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246824202240).

148989789936 is an abundant number, since it is smaller than the sum of its proper divisors (344658614544).

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

148989789936 is a wasteful number, since it uses less digits than its factorization.

148989789936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 81.

The spelling of 148989789936 in words is "one hundred forty-eight billion, nine hundred eighty-nine million, seven hundred eighty-nine thousand, nine hundred thirty-six".