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148940832768 = 214372136771
BaseRepresentation
bin1000101010110110010…
…0001100000000000000
3112020102221110020120120
42022231210030000000
54420012323122033
6152231130540240
713521615122100
oct2125544140000
9466387406516
10148940832768
1158190243132
1224a47b97680
1311077cc73a0
1472ccc41200
153d1ab121b3
hex22ad90c000

148940832768 has 720 divisors, whose sum is σ = 512083724544. Its totient is φ = 38149816320.

The previous prime is 148940832739. The next prime is 148940832773. The reversal of 148940832768 is 867238049841.

It is a happy number.

148940832768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097758173 + ... + 2097758243.

Almost surely, 2148940832768 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 148940832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256041862272).

148940832768 is an abundant number, since it is smaller than the sum of its proper divisors (363142891776).

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

148940832768 is an equidigital number, since it uses as much as digits as its factorization.

148940832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 148940832768 in words is "one hundred forty-eight billion, nine hundred forty million, eight hundred thirty-two thousand, seven hundred sixty-eight".