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148554326448 = 243211791936151
BaseRepresentation
bin1000101001011010000…
…1110010000110110000
3112012110000011200120200
42022112201302012300
54413214401421243
6152124522435200
713506212640363
oct2122641620660
9465400150520
10148554326448
1158002054220
122495a662b00
1311015bcb918
1472937900da
153ce6c16ad3
hex22968721b0

148554326448 has 240 divisors, whose sum is σ = 461736637440. Its totient is φ = 44209152000.

The previous prime is 148554326443. The next prime is 148554326509. The reversal of 148554326448 is 844623455841.

148554326448 is a `hidden beast` number, since 1 + 48 + 554 + 3 + 2 + 6 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148554326394 and 148554326403.

It is not an unprimeable number, because it can be changed into a prime (148554326443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24148173 + ... + 24154323.

It is an arithmetic number, because the mean of its divisors is an integer number (1923902656).

Almost surely, 2148554326448 is an apocalyptic number.

148554326448 is a gapful number since it is divisible by the number (18) 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 148554326448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230868318720).

148554326448 is an abundant number, since it is smaller than the sum of its proper divisors (313182310992).

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

148554326448 is a wasteful number, since it uses less digits than its factorization.

148554326448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6439 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 148554326448 in words is "one hundred forty-eight billion, five hundred fifty-four million, three hundred twenty-six thousand, four hundred forty-eight".