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148740185088 = 21033112173257
BaseRepresentation
bin1000101010000110011…
…0110001110000000000
3112012220221220021201000
42022201212301300000
54414104441410323
6152155202212000
713513630466325
oct2124146616000
9465827807630
10148740185088
1158097a58600
12249b0954000
1311045574351
1472b0330b4c
153d081cae43
hex22a19b1c00

148740185088 has 528 divisors, whose sum is σ = 488875675680. Its totient is φ = 44637880320.

The previous prime is 148740185081. The next prime is 148740185117. The reversal of 148740185088 is 880581047841.

148740185088 is a `hidden beast` number, since 1 + 4 + 87 + 40 + 18 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148740185081) 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 47 ways as a sum of consecutive naturals, for example, 578755456 + ... + 578755712.

Almost surely, 2148740185088 is an apocalyptic number.

148740185088 is a gapful number since it is divisible by the number (18) 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 148740185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244437837840).

148740185088 is an abundant number, since it is smaller than the sum of its proper divisors (340135490592).

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

148740185088 is a wasteful number, since it uses less digits than its factorization.

148740185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 148740185088 in words is "one hundred forty-eight billion, seven hundred forty million, one hundred eighty-five thousand, eighty-eight".