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148303155456 = 28324310491427
BaseRepresentation
bin1000101000011110001…
…1101001000100000000
3112011210111112212202100
42022013203221010000
54412211101433311
6152043551150400
713500043010421
oct2120743510400
9464714485670
10148303155456
11579932a0795
12248aa515400
1310ca5b69231
14726c28b648
153cceb50a56
hex22878e9100

148303155456 has 216 divisors, whose sum is σ = 438262624800. Its totient is φ = 48204914688.

The previous prime is 148303155431. The next prime is 148303155479. The reversal of 148303155456 is 654551303841.

148303155456 is a `hidden beast` number, since 1 + 48 + 3 + 0 + 3 + 1 + 554 + 56 = 666.

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, 103925815 + ... + 103927241.

Almost surely, 2148303155456 is an apocalyptic number.

148303155456 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 148303155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219131312400).

148303155456 is an abundant number, since it is smaller than the sum of its proper divisors (289959469344).

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

148303155456 is a wasteful number, since it uses less digits than its factorization.

148303155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 148303155456 in words is "one hundred forty-eight billion, three hundred three million, one hundred fifty-five thousand, four hundred fifty-six".