Search a number
-
+
148168538280 = 2333572192343149
BaseRepresentation
bin1000100111111110001…
…0000111100010101000
3112011110010020121201000
42021333202013202220
54411422121211110
6152022341555000
713463516536500
oct2117742074250
9464403217630
10148168538280
1157924305924
1224871415a60
1310c83cc4cb9
147258448a00
153cc2e0e1c0
hex227f8878a8

148168538280 has 1536 divisors, whose sum is σ = 650073600000. Its totient is φ = 29774739456.

The previous prime is 148168538227. The next prime is 148168538311. The reversal of 148168538280 is 82835861841.

148168538280 is a `hidden beast` number, since 1 + 4 + 81 + 6 + 8 + 538 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 994419646 + ... + 994419794.

It is an arithmetic number, because the mean of its divisors is an integer number (423225000).

Almost surely, 2148168538280 is an apocalyptic number.

148168538280 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 148168538280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325036800000).

148168538280 is an abundant number, since it is smaller than the sum of its proper divisors (501905061720).

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

148168538280 is a wasteful number, since it uses less digits than its factorization.

148168538280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 148168538280 in words is "one hundred forty-eight billion, one hundred sixty-eight million, five hundred thirty-eight thousand, two hundred eighty".