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148836873384 = 23342331615281
BaseRepresentation
bin1000101010011101011…
…1100111010010101000
3112020011200211120010000
42022213113213102220
54414304214422014
6152212534423000
713516213356363
oct2124727472250
9466150746100
10148836873384
1158137597991
1224a19201a60
131105c5c8664
1472bd0dd0da
153d11929509
hex22a75e74a8

148836873384 has 320 divisors, whose sum is σ = 456486497280. Its totient is φ = 45163008000.

The previous prime is 148836873307. The next prime is 148836873397. The reversal of 148836873384 is 483378638841.

148836873384 is a `hidden beast` number, since 1 + 488 + 3 + 6 + 8 + 73 + 3 + 84 = 666.

148836873384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1488368733842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28180824 + ... + 28186104.

It is an arithmetic number, because the mean of its divisors is an integer number (1426520304).

Almost surely, 2148836873384 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 148836873384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228243248640).

148836873384 is an abundant number, since it is smaller than the sum of its proper divisors (307649623896).

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

148836873384 is a wasteful number, since it uses less digits than its factorization.

148836873384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5401 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 148836873384 in words is "one hundred forty-eight billion, eight hundred thirty-six million, eight hundred seventy-three thousand, three hundred eighty-four".