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148133400804 = 22331371605563
BaseRepresentation
bin1000100111110101110…
…0000101000011100100
3112011100200010110011000
42021331130011003210
54411334122311204
6152015044513300
713462612063044
oct2117534050344
9464320113130
10148133400804
1157906496594
12248616ab830
1310c799417ac
1472538dd724
153cbecbd039
hex227d7050e4

148133400804 has 24 divisors (see below), whose sum is σ = 384049557920. Its totient is φ = 49377800232.

The previous prime is 148133400797. The next prime is 148133400829. The reversal of 148133400804 is 408004331841.

148133400804 is a `hidden beast` number, since 1 + 48 + 133 + 400 + 80 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685802674 + ... + 685802889.

Almost surely, 2148133400804 is an apocalyptic number.

It is an amenable number.

148133400804 is an abundant number, since it is smaller than the sum of its proper divisors (235916157116).

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

148133400804 is a wasteful number, since it uses less digits than its factorization.

148133400804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371605576 (or 1371605568 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 148133400804 in words is "one hundred forty-eight billion, one hundred thirty-three million, four hundred thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1371605563 2743211126 4114816689 5486422252 8229633378 12344450067 16459266756 24688900134 37033350201 49377800268 74066700402 148133400804