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148413492000 = 2533533197457
BaseRepresentation
bin1000101000111000100…
…0100010101100100000
3112012002012011120001000
42022032020202230200
54412422323221000
6152102532112000
713502552603334
oct2121610425440
9465065146030
10148413492000
1157a3a602214
122491b465600
1310cc298b827
14727cbad7c4
153cd9698000
hex228e222b20

148413492000 has 768 divisors, whose sum is σ = 564633538560. Its totient is φ = 37822464000.

The previous prime is 148413491959. The next prime is 148413492001. The reversal of 148413492000 is 294314841.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (148413492001) 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 127 ways as a sum of consecutive naturals, for example, 324755772 + ... + 324756228.

It is an arithmetic number, because the mean of its divisors is an integer number (735199920).

Almost surely, 2148413492000 is an apocalyptic number.

148413492000 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 148413492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282316769280).

148413492000 is an abundant number, since it is smaller than the sum of its proper divisors (416220046560).

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

148413492000 is a wasteful number, since it uses less digits than its factorization.

148413492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 148413492000 in words is "one hundred forty-eight billion, four hundred thirteen million, four hundred ninety-two thousand".