Search a number
-
+
149618722338 = 2321723121732
BaseRepresentation
bin1000101101010111111…
…0001000011000100010
3112022012012000121020200
42023111332020120202
54422404343103323
6152422304250030
713544456104401
oct2132576103042
9468165017220
10149618722338
11584a8960648
1224bb7010916
1311155594887
147354ca1638
153d5a3b8443
hex22d5f88622

149618722338 has 162 divisors, whose sum is σ = 357900256467. Its totient is φ = 45162466560.

The previous prime is 149618722291. The next prime is 149618722339. The reversal of 149618722338 is 833227816941.

It is a happy number.

149618722338 is a `hidden beast` number, since 14 + 9 + 618 + 7 + 2 + 2 + 3 + 3 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 149604183369 + 14538969 = 386787^2 + 3813^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=273513.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (149618722339) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 864848020 + ... + 864848192.

Almost surely, 2149618722338 is an apocalyptic number.

149618722338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149618722338

149618722338 is an abundant number, since it is smaller than the sum of its proper divisors (208281534129).

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

149618722338 is a wasteful number, since it uses less digits than its factorization.

149618722338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 226 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 149618722338 in words is "one hundred forty-nine billion, six hundred eighteen million, seven hundred twenty-two thousand, three hundred thirty-eight".