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148948009824 = 25347531394481
BaseRepresentation
bin1000101010110111111…
…1100100001101100000
3112020110102221212122110
42022231333210031200
54420021142303244
6152231544435320
713522033123335
oct2125577441540
9466412855573
10148948009824
11581942a5389
1224a4a478b40
131107963b073
1472cdb8c98c
153d1b57d9b9
hex22adfe4360

148948009824 has 192 divisors, whose sum is σ = 409859896320. Its totient is φ = 47322562560.

The previous prime is 148948009823. The next prime is 148948009907. The reversal of 148948009824 is 428900849841.

148948009824 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 not an unprimeable number, because it can be changed into a prime (148948009823) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33237664 + ... + 33242144.

It is an arithmetic number, because the mean of its divisors is an integer number (2134686960).

Almost surely, 2148948009824 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 148948009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204929948160).

148948009824 is an abundant number, since it is smaller than the sum of its proper divisors (260911886496).

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

148948009824 is a wasteful number, since it uses less digits than its factorization.

148948009824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 148948009824 in words is "one hundred forty-eight billion, nine hundred forty-eight million, nine thousand, eight hundred twenty-four".