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148490418240 = 26365636533
BaseRepresentation
bin1000101001001010110…
…1111111100001000000
3112012021112220211000000
42022102231333201000
54413102021340430
6152114321000000
713504505505153
oct2122255774100
9465245824000
10148490418240
1157a79a7401a
1224941183000
13110058b3b08
1472890b5c9a
153ce12e0e60
hex2292b7f840

148490418240 has 196 divisors, whose sum is σ = 530147526444. Its totient is φ = 39597382656.

The previous prime is 148490418217. The next prime is 148490418257. The reversal of 148490418240 is 42814094841.

148490418240 is a `hidden beast` number, since 1 + 4 + 8 + 490 + 41 + 82 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53216953344 + 95273464896 = 230688^2 + 308664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 27 ways as a sum of consecutive naturals, for example, 84987 + ... + 551546.

Almost surely, 2148490418240 is an apocalyptic number.

148490418240 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 148490418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265073763222).

148490418240 is an abundant number, since it is smaller than the sum of its proper divisors (381657108204).

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

148490418240 is an frugal number, since it uses more digits than its factorization.

148490418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636568 (or 636543 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 148490418240 in words is "one hundred forty-eight billion, four hundred ninety million, four hundred eighteen thousand, two hundred forty".