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148289397760 = 2105722331829
BaseRepresentation
bin1000101000011010111…
…1001010010000000000
3112011202112122220202001
42022012233022100000
54412144041212020
6152042340233344
713466515040500
oct2120657122000
9464675586661
10148289397760
1157986554399
12248a599b854
1310ca306019a
14726a509a00
153ccd83450a
hex2286bca400

148289397760 has 528 divisors, whose sum is σ = 446255170560. Its totient is φ = 47006023680.

The previous prime is 148289397721. The next prime is 148289397803. The reversal of 148289397760 is 67793982841.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 148289397692 and 148289397701.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 178877026 + ... + 178877854.

Almost surely, 2148289397760 is an apocalyptic number.

148289397760 is a gapful number since it is divisible by the number (10) 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 148289397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223127585280).

148289397760 is an abundant number, since it is smaller than the sum of its proper divisors (297965772800).

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

148289397760 is a wasteful number, since it uses less digits than its factorization.

148289397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 148289397760 in words is "one hundred forty-eight billion, two hundred eighty-nine million, three hundred ninety-seven thousand, seven hundred sixty".