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148303293696 = 2832316134039
BaseRepresentation
bin1000101000011110010…
…0001010110100000000
3112011210111210220101100
42022013210022310000
54412211120344241
6152043554134400
713500044124435
oct2120744126400
9464714726340
10148303293696
1157993385638
12248aa581400
1310ca5bb712c
14726c2c5b8c
153cceb7b9b6
hex228790ad00

148303293696 has 216 divisors, whose sum is σ = 448637396480. Its totient is φ = 47054131200.

The previous prime is 148303293683. The next prime is 148303293707. The reversal of 148303293696 is 696392303841.

148303293696 is a `hidden beast` number, since 1 + 48 + 303 + 293 + 6 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4339845 + ... + 4373883.

Almost surely, 2148303293696 is an apocalyptic number.

148303293696 is a gapful number since it is divisible by the number (16) 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 148303293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224318698240).

148303293696 is an abundant number, since it is smaller than the sum of its proper divisors (300334102784).

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

148303293696 is a wasteful number, since it uses less digits than its factorization.

148303293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34153 (or 34136 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 148303293696 in words is "one hundred forty-eight billion, three hundred three million, two hundred ninety-three thousand, six hundred ninety-six".