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148905834499968 = 273741331400759
BaseRepresentation
bin100001110110110111010111…
…010111101100111110000000
3201112020020222122001100000020
4201312313113113230332000
5124004133122112444333
61244410221312053440
743236043251360000
oct4166672727547600
9645206878040006
10148905834499968
114349a678676477
121484ab46834280
1365119b57916b0
1428ab11bba0000
1512335b0cc43b3
hex876dd75ecf80

148905834499968 has 640 divisors, whose sum is σ = 512950742169600. Its totient is φ = 38004939141120.

The previous prime is 148905834499967. The next prime is 148905834499973. The reversal of 148905834499968 is 869994438509841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148905834499967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 371359173 + ... + 371759931.

It is an arithmetic number, because the mean of its divisors is an integer number (801485534640).

Almost surely, 2148905834499968 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 148905834499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256475371084800).

148905834499968 is an abundant number, since it is smaller than the sum of its proper divisors (364044907669632).

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

148905834499968 is an equidigital number, since it uses as much as digits as its factorization.

148905834499968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400848 (or 400815 counting only the distinct ones).

The product of its (nonzero) digits is 19349176320, while the sum is 87.

The spelling of 148905834499968 in words is "one hundred forty-eight trillion, nine hundred five billion, eight hundred thirty-four million, four hundred ninety-nine thousand, nine hundred sixty-eight".