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148390983228384 = 25341323687185917
BaseRepresentation
bin100001101111010111110111…
…110101111101101111100000
3201110102001001202112212010000
4201233113313311331233200
5123422214213201302014
61243333513202340000
743153615616643411
oct4157276765755740
9643361052485100
10148390983228384
114331129853a906
121478720005a600
1364a529586ca70
14289023a3cd808
151224ecb459509
hex86f5f7d7dbe0

148390983228384 has 240 divisors, whose sum is σ = 470006418375648. Its totient is φ = 45656590906368.

The previous prime is 148390983228373. The next prime is 148390983228403. The reversal of 148390983228384 is 483822389093841.

148390983228384 is a `hidden beast` number, since 1 + 4 + 8 + 390 + 9 + 8 + 3 + 228 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798064194 + ... + 798250110.

Almost surely, 2148390983228384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148390983228384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235003209187824).

148390983228384 is an abundant number, since it is smaller than the sum of its proper divisors (321615435147264).

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

148390983228384 is a wasteful number, since it uses less digits than its factorization.

148390983228384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209639 (or 209622 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 148390983228384 in words is "one hundred forty-eight trillion, three hundred ninety billion, nine hundred eighty-three million, two hundred twenty-eight thousand, three hundred eighty-four".