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148189581540 = 22335711131947307
BaseRepresentation
bin1000101000000011001…
…0011001000011100100
3112011111120211201122000
42022000302121003210
54411443013102130
6152024413005300
713464163442220
oct2120062310344
9464446751560
10148189581540
1157935178a50
1224878483830
1310c88482230
14725b165780
153cc4bb9260
hex2280c990e4

148189581540 has 1536 divisors, whose sum is σ = 667621785600. Its totient is φ = 26269194240.

The previous prime is 148189581539. The next prime is 148189581563. The reversal of 148189581540 is 45185981841.

148189581540 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 8 + 9 + 581 + 54 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 511 ways as a sum of consecutive naturals, for example, 482702067 + ... + 482702373.

It is an arithmetic number, because the mean of its divisors is an integer number (434649600).

Almost surely, 2148189581540 is an apocalyptic number.

148189581540 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 148189581540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333810892800).

148189581540 is an abundant number, since it is smaller than the sum of its proper divisors (519432204060).

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

148189581540 is a wasteful number, since it uses less digits than its factorization.

148189581540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 148189581540 in words is "one hundred forty-eight billion, one hundred eighty-nine million, five hundred eighty-one thousand, five hundred forty".