Search a number
-
+
149626428336 = 24347111789991
BaseRepresentation
bin1000101101011001101…
…1100001101110110000
3112022012201112002220000
42023112123201232300
54422413331201321
6152423141350000
713544611441020
oct2132633415660
9468181462800
10149626428336
1158502244240
1224bb9708300
1311157062238
147355d09a80
153d5addb826
hex22d66e1bb0

149626428336 has 800 divisors, whose sum is σ = 578688675840. Its totient is φ = 36130406400.

The previous prime is 149626428299. The next prime is 149626428361. The reversal of 149626428336 is 633824626941.

149626428336 is a `hidden beast` number, since 1 + 4 + 9 + 626 + 4 + 2 + 8 + 3 + 3 + 6 = 666.

149626428336 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 nude number because it is divisible by every one of its digits.

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 159 ways as a sum of consecutive naturals, for example, 150984801 + ... + 150985791.

Almost surely, 2149626428336 is an apocalyptic number.

149626428336 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 149626428336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289344337920).

149626428336 is an abundant number, since it is smaller than the sum of its proper divisors (429062247504).

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

149626428336 is a wasteful number, since it uses less digits than its factorization.

149626428336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1120 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 149626428336 in words is "one hundred forty-nine billion, six hundred twenty-six million, four hundred twenty-eight thousand, three hundred thirty-six".