Search a number
-
+
149936627880 = 233551317223313
BaseRepresentation
bin1000101110100011101…
…0110110000010101000
3112100000100012212200000
42023220322312002220
54424032234043010
6152514022143000
713555366210614
oct2135072660250
9470010185600
10149936627880
11586513547a6
1225085581a60
13111a63c1670
1473851b6344
153d782627c0
hex22e8eb60a8

149936627880 has 768 divisors, whose sum is σ = 580660254720. Its totient is φ = 34470199296.

The previous prime is 149936627879. The next prime is 149936627941. The reversal of 149936627880 is 88726639941.

149936627880 is a `hidden beast` number, since 1 + 499 + 3 + 6 + 62 + 7 + 8 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479030604 + ... + 479030916.

It is an arithmetic number, because the mean of its divisors is an integer number (756068040).

Almost surely, 2149936627880 is an apocalyptic number.

149936627880 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 149936627880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290330127360).

149936627880 is an abundant number, since it is smaller than the sum of its proper divisors (430723626840).

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

149936627880 is a wasteful number, since it uses less digits than its factorization.

149936627880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 149936627880 in words is "one hundred forty-nine billion, nine hundred thirty-six million, six hundred twenty-seven thousand, eight hundred eighty".