Search a number
-
+
126474950160 = 2432513107293431
BaseRepresentation
bin111010111001001111…
…1101001011000010000
3110002110020221011022100
41311302133221120100
54033010041401120
6134033553040400
712065111224056
oct1656237513020
9402406834270
10126474950160
11497018a2aa9
1220618256100
13bc077a7420
14619b26a1d6
153453659490
hex1d727e9610

126474950160 has 480 divisors, whose sum is σ = 464343280128. Its totient is φ = 30664765440.

The previous prime is 126474950159. The next prime is 126474950197. The reversal of 126474950160 is 61059474621.

126474950160 is a `hidden beast` number, since 1 + 2 + 6 + 47 + 49 + 501 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 293445145 + ... + 293445575.

Almost surely, 2126474950160 is an apocalyptic number.

126474950160 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 126474950160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232171640064).

126474950160 is an abundant number, since it is smaller than the sum of its proper divisors (337868329968).

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

126474950160 is a wasteful number, since it uses less digits than its factorization.

126474950160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 126474950160 in words is "one hundred twenty-six billion, four hundred seventy-four million, nine hundred fifty thousand, one hundred sixty".