Search a number
-
+
148205656344 = 233311072127137
BaseRepresentation
bin1000101000000110111…
…1101101100100011000
3112011112201002102010010
42022001233231210120
54412011122000334
6152030145321520
713464450202434
oct2120157554430
9464481072103
10148205656344
1157943258209
12248819362a0
1310c8b8bcb55
14725d34b9c4
153cc62e20e9
hex2281bed918

148205656344 has 192 divisors, whose sum is σ = 391954268160. Its totient is φ = 46645562880.

The previous prime is 148205656337. The next prime is 148205656349. The reversal of 148205656344 is 443656502841.

It is a junction number, because it is equal to n+sod(n) for n = 148205656293 and 148205656302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148205656349) 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 47 ways as a sum of consecutive naturals, for example, 1081793044 + ... + 1081793180.

It is an arithmetic number, because the mean of its divisors is an integer number (2041428480).

Almost surely, 2148205656344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148205656344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195977134080).

148205656344 is an abundant number, since it is smaller than the sum of its proper divisors (243748611816).

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

148205656344 is a wasteful number, since it uses less digits than its factorization.

148205656344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 148205656344 in words is "one hundred forty-eight billion, two hundred five million, six hundred fifty-six thousand, three hundred forty-four".