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148392002304 = 28327131723179
BaseRepresentation
bin1000101000110011011…
…0100100001100000000
3112012000200201202201100
42022030312210030000
54412401323033204
6152100443334400
713502202131220
oct2121466441400
9465020652640
10148392002304
1157a29464737
1224914221400
1310cbb3a6330
147279db8080
153cd7850a39
hex228cda4300

148392002304 has 1296 divisors, whose sum is σ = 584737054720. Its totient is φ = 35194798080.

The previous prime is 148392002303. The next prime is 148392002323. The reversal of 148392002304 is 403200293841.

148392002304 is a `hidden beast` number, since 148 + 3 + 9 + 200 + 2 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148392002303) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1878379737 + ... + 1878379815.

Almost surely, 2148392002304 is an apocalyptic number.

148392002304 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 148392002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292368527360).

148392002304 is an abundant number, since it is smaller than the sum of its proper divisors (436345052416).

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

148392002304 is a wasteful number, since it uses less digits than its factorization.

148392002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 148392002304 in words is "one hundred forty-eight billion, three hundred ninety-two million, two thousand, three hundred four".