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148785299712 = 28357319367
BaseRepresentation
bin1000101010010001001…
…0111000000100000000
3112020001002210100100000
42022210102320010000
54414203014042322
6152203453200000
713515016116000
oct2124422700400
9466032710300
10148785299712
1158110471915
1224a03a90000
1311051a0bbaa
1472b6316000
153d0c13d3ac
hex22a44b8100

148785299712 has 864 divisors, whose sum is σ = 547595776000. Its totient is φ = 40162977792.

The previous prime is 148785299687. The next prime is 148785299753. The reversal of 148785299712 is 217992587841.

148785299712 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 8 + 529 + 97 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 148785299712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405409353 + ... + 405409719.

Almost surely, 2148785299712 is an apocalyptic number.

148785299712 is a gapful number since it is divisible by the number (12) 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 148785299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273797888000).

148785299712 is an abundant number, since it is smaller than the sum of its proper divisors (398810476288).

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

148785299712 is an frugal number, since it uses more digits than its factorization.

148785299712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 398 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 148785299712 in words is "one hundred forty-eight billion, seven hundred eighty-five million, two hundred ninety-nine thousand, seven hundred twelve".