Search a number
-
+
148666474320 = 2435721321931127
BaseRepresentation
bin1000101001110100110…
…1100101111101010000
3112012201211012101112120
42022131031211331100
54413432104134240
6152144010254240
713512044116200
oct2123515457520
9465654171476
10148666474320
115805a392611
1224990127380
1311033206800
1472a4624400
153d019baad0
hex229d365f50

148666474320 has 1440 divisors, whose sum is σ = 635753594880. Its totient is φ = 28531077120.

The previous prime is 148666474241. The next prime is 148666474361. The reversal of 148666474320 is 23474666841.

148666474320 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 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 287 ways as a sum of consecutive naturals, for example, 1170602097 + ... + 1170602223.

It is an arithmetic number, because the mean of its divisors is an integer number (441495552).

Almost surely, 2148666474320 is an apocalyptic number.

148666474320 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 148666474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317876797440).

148666474320 is an abundant number, since it is smaller than the sum of its proper divisors (487087120560).

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

148666474320 is a wasteful number, since it uses less digits than its factorization.

148666474320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 148666474320 in words is "one hundred forty-eight billion, six hundred sixty-six million, four hundred seventy-four thousand, three hundred twenty".