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148325297904 = 24337218138713
BaseRepresentation
bin1000101000100011100…
…0000110111011110000
3112011212001012211111000
42022020320012323300
54412232234013104
6152050101522000
713500432141600
oct2121070067360
9464761184430
10148325297904
11579a4844733
12248b5a13300
1310caa61c884
1472711b2c00
153cd1a76639
hex2288e06ef0

148325297904 has 240 divisors, whose sum is σ = 498007604640. Its totient is φ = 42143431680.

The previous prime is 148325297893. The next prime is 148325297917. The reversal of 148325297904 is 409792523841.

148325297904 is a `hidden beast` number, since 1 + 48 + 3 + 2 + 529 + 79 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3812052 + ... + 3850764.

It is an arithmetic number, because the mean of its divisors is an integer number (2075031686).

Almost surely, 2148325297904 is an apocalyptic number.

148325297904 is a gapful number since it is divisible by the number (14) 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 148325297904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249003802320).

148325297904 is an abundant number, since it is smaller than the sum of its proper divisors (349682306736).

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

148325297904 is a wasteful number, since it uses less digits than its factorization.

148325297904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38925 (or 38906 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 148325297904 in words is "one hundred forty-eight billion, three hundred twenty-five million, two hundred ninety-seven thousand, nine hundred four".